Institute for Mathematics and its Applications University of Minnesota 114 Lind Hall 207 Church Street SE Minneapolis, MN 55455 
20092010 IMA Participating Institutions Conferences
All Day  Work on projects till afternoon. Lind Hall 400 2:00pm Separate group meetings. Lind Hall 400  SW6.297.31.09  
10:45am11:15am  Coffee break  Lind Hall 400  
3:00pm4:00pm  Organic semiconductors for flexible solar cells  Russell J. Holmes (University of Minnesota)  Lind Hall 409  SW6.297.31.09 
All Day  Work on projects till afternoon. Lind Hall 400  SW6.297.31.09  
10:45am11:15am  Coffee break  Lind Hall 400  
3:00pm6:00pm  Mississippi history walk (lecturer: Pat Nunnally)  Mississippi River  SW6.297.31.09 
All Day  Independence Day. The IMA summer REU schedule will take place.  
All Day  3:00pm All groups meet together. Each group gives presentation on progress and results. Lind Hall 409  SW6.297.31.09 
All Day  No events scheduled.  SW6.297.31.09 
All Day  No events scheduled.  SW6.297.31.09 
All Day  9:00am Separate group meetings. Work all day on projects. Lind Hall 400  SW6.297.31.09  
10:45am11:15am  Coffee break  Lind Hall 400 
All Day  Work all day on projects. Lind Hall 400  SW6.297.31.09  
10:45am11:15am  Coffee break  Lind Hall 400 
All Day  Work on projects till afternoon. Lind Hall 400 2:00pm Separate group meetings. Lind Hall 400  SW6.297.31.09  
10:45am11:15am  Coffee break  Lind Hall 400  
3:00pm4:00pm  Toward a second order description of neuronal networks  Duane Nykamp (University of Minnesota)  Lind Hall 409  SW6.297.31.09 
All Day  Work on projects till afternoon. Lind Hall 400  SW6.297.31.09  
10:45am11:15am  Coffee break  Lind Hall 400  
3:00pm6:00pm  Trip to the Minneapolis Institute of Arts  Minneapolis Institute of Arts 2400 3rd Ave S Minneapolis, MN 55404 (612) 8703131 
SW6.297.31.09 
All Day  3:00pm All groups meet together. Each group gives presentation on progress and results. Lind Hall 409  SW6.297.31.09  
10:45am11:15am  Coffee break  Lind Hall 400 
All Day  No events scheduled.  SW6.297.31.09 
All Day  No events scheduled.  SW6.297.31.09 
All Day 
Morning Chair: Marta Lewicka (University of Minnesota) Afternoon Chair: Alberto Bressan (Penn State University)  SP7.1331.09  
All Day  9:00am Separate group meetings. Work all day on projects. Lind Hall 400  SW6.297.31.09  
8:15am8:45am  Registration and coffee  EE/CS 3176  SP7.1331.09  
8:45am9:00am  Welcome to the IMA  Fadil Santosa (University of Minnesota)  EE/CS 3180  SP7.1331.09 
9:00am10:15am  Introduction to conservation laws  Constantine Dafermos (Brown University)  EE/CS 3180  SP7.1331.09 
10:15am10:45am  Coffee Break  EE/CS 3176  SP7.1331.09  
10:45am11:45am  An introduction to multidimensional conservation laws. Lecture 1  GuiQiang G. Chen (Northwestern University)  EE/CS 3180  SP7.1331.09 
11:45am2:00pm  Lunch  SP7.1331.09  
2:00pm3:00pm  Asymptotic analysis in thermodynamics of viscous fluids. Lecture 1  Eduard Feireisl (Czech Academy of Sciences (AVČR))  EE/CS 3180  SP7.1331.09 
3:00pm3:30pm  Coffee Break  EE/CS 3176  SP7.1331.09  
3:30pm4:45pm  A tutorial on hyperbolic conservation laws. Lecture 1  Alberto Bressan (Pennsylvania State University)  EE/CS 3180  SP7.1331.09 
All Day  Morning Chair: GuiQiang G. Chen
(Northwestern University) Afternoon Chair: Dehua Wang (University of Pittsburgh)  SP7.1331.09  
All Day  Work all day on projects. Lind Hall 400  SW6.297.31.09  
8:30am9:00am  Coffee  EE/CS 3176  SP7.1331.09  
9:00am10:15am  A tutorial on hyperbolic conservation laws. Lecture 2  Alberto Bressan (Pennsylvania State University)  EE/CS 3180  SP7.1331.09 
10:15am10:45am  Coffee  EE/CS 3176  SP7.1331.09  
10:45am12:00pm  Asymptotic analysis in thermodynamics of viscous fluids. Lecture 2  Eduard Feireisl (Czech Academy of Sciences (AVČR))  EE/CS 3180  SP7.1331.09 
12:00pm2:00pm  Lunch  SP7.1331.09  
2:00pm3:00pm  Dynamics of viscous shock waves. Lecture 1: Stability of viscous shock waves  Kevin Zumbrun (Indiana University)  EE/CS 3180  SP7.1331.09 
3:00pm4:00pm  Coffee  EE/CS 3176  SP7.1331.09  
4:00pm5:00pm  Selected topics in approximate solutions of nonlinear conservation laws  Eitan Tadmor (University of Maryland)  EE/CS 3180  SP7.1331.09 
All Day  Morning Chair: Eitan Tadmor (University of Maryland) Afternoon Chair: Kevin Zumbrun (Indiana University)  SP7.1331.09  
All Day  Work on projects till afternoon. Lind Hall 400 2:00pm Separate group meetings. Lind Hall 400  SW6.297.31.09  
8:30am9:00am  Coffee  EE/CS 3176  SP7.1331.09  
9:00am10:15am  Numerical methods for multidimensional systems of conservation laws. Lecture 1  ChiWang Shu (Brown University)  EE/CS 3180  SP7.1331.09 
10:15am10:45am  Coffee  EE/CS 3176  SP7.1331.09  
10:45am12:00pm  An introduction to multidimensional conservation laws. Lecture 2  GuiQiang G. Chen (Northwestern University)  EE/CS 3180  SP7.1331.09 
12:00pm2:00pm  Lunch  SP7.1331.09  
2:00pm3:00pm  Asymptotic analysis in thermodynamics of viscous fluids. Lecture 3  Eduard Feireisl (Czech Academy of Sciences (AVČR))  EE/CS 3180  SP7.1331.09 
3:00pm4:00pm  Coffee  EE/CS 3176  SP7.1331.09  
3:00pm4:00pm  Sparse signal representations and applications  Ahmed H. Tewfik (University of Minnesota)  Lind Hall 409  SW6.297.31.09 
4:00pm5:00pm  Numerical methods for multidimensional systems of conservation laws. Lecture 2  ChiWang Shu (Brown University)  EE/CS 3180  SP7.1331.09 
6:30pm8:30pm  Social dinner for organizers and main speakers  W.A. Frost and Company  SP7.1331.09 
All Day  Morning Chair: Constantine Dafermos
(Brown University) Afternoon Chair: Eduard Feireisl (Czech Academy of Sciences (AVČR))  SP7.1331.09  
All Day  Work on projects till afternoon. Lind Hall 400  SW6.297.31.09  
8:30am9:00am  Coffee  EE/CS 3176  SP7.1331.09  
9:00am10:15am  Asymptotic analysis in thermodynamics of viscous fluids. Lecture 4  Eduard Feireisl (Czech Academy of Sciences (AVČR))  EE/CS 3180  SP7.1331.09 
10:15am10:45am  Coffee  EE/CS 3176  SP7.1331.09  
10:45am12:00pm  Numerical methods for multidimensional systems of conservation laws. Lecture 3  ChiWang Shu (Brown University)  EE/CS 3180  SP7.1331.09 
12:00pm2:00pm  Lunch  SP7.1331.09  
2:00pm3:00pm  A tutorial on hyperbolic conservation laws. Lecture 3  Alberto Bressan (Pennsylvania State University)  EE/CS 3180  SP7.1331.09 
3:00pm4:00pm  Coffee  EE/CS 3176  SP7.1331.09  
3:00pm6:00pm  Canoeing trip on Lake Calhoun (in case of rain Mill City Museum)  Lake Calhoun or Mill City Museum  SW6.297.31.09  
4:00pm5:00pm  Dynamics of viscous shock waves. Lecture 2: Verification of the Evans condition  Kevin Zumbrun (Indiana University)  EE/CS 3180  SP7.1331.09 
All Day  Morning Chair: GuiQiang Chen
(Northwestern University) Afternoon Chair: Alberto Bressan (Penn State University)  SP7.1331.09  
All Day  3:00pm All groups meet together. Each group gives presentation on progress and results. Lind Hall 409  SW6.297.31.09  
8:30am9:00am  Coffee  EE/CS 3176  SP7.1331.09  
9:00am10:15am  A tutorial on hyperbolic conservation laws. Lecture 4  Alberto Bressan (Pennsylvania State University)  EE/CS 3180  SP7.1331.09 
10:15am10:45am  Coffee  EE/CS 3176  SP7.1331.09  
10:45am12:00pm  Dynamics of viscous shock waves.
Lecture 3: Conditional stability and bifurcation  Kevin Zumbrun (Indiana University)  EE/CS 3180  SP7.1331.09 
12:00pm2:00pm  Lunch  SP7.1331.09  
2:00pm3:00pm  An introduction to multidimensional conservation laws. Lecture 3  GuiQiang G. Chen (Northwestern University)  EE/CS 3180  SP7.1331.09 
3:00pm4:00pm  Coffee  EE/CS 3176  SP7.1331.09  
4:00pm5:00pm  Numerical methods for multidimensional systems of conservation laws. Lecture 4  ChiWang Shu (Brown University)  EE/CS 3180  SP7.1331.09 
All Day  Chair: Marta Lewicka (University of Minnesota)  SP7.1331.09  
All Day  No events scheduled.  SW6.297.31.09  
8:30am9:00am  Coffee  EE/CS 3176  SP7.1331.09  
9:00am10:15am  An introduction to multidimensional conservation laws. Lecture 4  GuiQiang G. Chen (Northwestern University)  EE/CS 3180  SP7.1331.09 
10:15am10:45am  Coffee  EE/CS 3176  SP7.1331.09  
10:45am12:00pm  Dynamics of viscous shock waves.
Lecture 4: Multidimensional dynamics: flow in an infinite cylinder  Kevin Zumbrun (Indiana University)  EE/CS 3180  SP7.1331.09 
All Day  No scheduled activity  SP7.1331.09  
All Day  No events scheduled.  SW6.297.31.09 
All Day  Morning Chair: GuiQiang G. Chen
(Northwestern University)
Afternoon Chair: TaiPing Liu (Stanford University)  SP7.1331.09  
All Day  9:00am Separate group meetings. Work all day on projects. Lind Hall 400  SW6.297.31.09  
8:30am9:00am  Coffee  EE/CS 3176  SP7.1331.09  
9:00am9:50am  Kinetic theory and gas dynamics  TaiPing Liu (Stanford University)  EE/CS 3180  SP7.1331.09 
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
On the classical solutions of two dimensional inviscid rotating shallow water system  Bin Cheng (University of Michigan)  
Gasdynamic regularity and nondegeneracy: some classifying remarks  Liviu Florin Dinu (Romanian Academy of Sciences)  
On the approximation of conservation laws by vanishing viscosity  Carlotta Donadello (Northwestern University)  
Nonuniqueness of entropy solutions and the carbuncle phenomenon  Volker Wilhelm Elling (University of Michigan)  
Optimal nodal control of networked systems of conservation laws  Michael Herty (RWTH Aachen)  
Global strong solutions to densitydependent viscoelasticity and liquid crystal  Xianpeng Hu (University of Pittsburgh) Dehua Wang (University of Pittsburgh)  
Modulational instability of periodic waves  Mathew A. Johnson (Indiana University)  
Compressible turbulence modelling in astrophysics  Christian F Klingenberg (BayerischeJuliusMaximiliansUniversität Würzburg)  
L^{2} stability estimates for shock solutions of scalar conservation laws using the relative entropy method  Nicholas Matthew Leger (University of Texas)  
On the motion of several rigid bodies in an incompressible nonNewtonian and heatconducting fluid  Sarka Necasova (Czech Academy of Sciences (AVČR))  
Stability of noncharacteristic viscous boundary layers  Toan Nguyen (Indiana University)  
Elasticity of thin shells and Sobolev spaces of isometries  Reza Pakzad (University of Pittsburgh)  
A new fourthorder nonoscillatory central scheme for hyperbolic conservation laws  Arshad Ahmud Iqbal Peer (University of Mauritius)  
On an inhomogeneous slipinflow boundary value problem for a steady flow of a viscous compressible fluid in a cylindrical domain  Tomasz Piotr Piasecki (Polish Academy of Sciences)  
The Riemann problem for the stochastically perturbed nonviscous Burgers equation and the pressureless gas dynamics model  Olga Rozanova (Moscow State University)  
Elastodynamics, differential forms, and weak solutions  David H. Wagner (University of Houston)  
Central schemes for a new class of entropy solutions of the modified BuckleyLeverett equation  Ying Wang (Ohio State University)  
Strong waves and vaccums in isentropic gas dynamics  Robin Young (University of Massachusetts)  
Periodic solutions to the Euler equations  Robin Young (University of Massachusetts)  
11:00am11:50am  Existence and stability of global solutions to shock reflection problem  Mikhail Feldman (University of Wisconsin)  EE/CS 3180  SP7.1331.09 
12:00pm2:00pm  Lunch  SP7.1331.09  
2:00pm2:50pm  Stability of multidimensional contact discontinuities in compressible MHD  YaGuang Wang (Shanghai Jiaotong University)  EE/CS 3180  SP7.1331.09 
3:00pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
4:00pm4:50pm  Discussion: Kinetic theory and gas dynamics  TaiPing Liu (Stanford University)  EE/CS 3180  SP7.1331.09 
All Day  Work all day on projects. Lind Hall 400  SW6.297.31.09  
All Day  Morning Chair: Mikhail Feldman
(University of Wisconsin) Afternoon Chair: Benoit Perthame (Université de Paris VI (Pierre et Marie Curie))  SP7.1331.09  
8:30am9:00am  Coffee  EE/CS 3176  SP7.1331.09  
9:00am9:50am  A coupled system of elliptic/conservation law arising in cell selforganization  Benoit Perthame (Université de Paris VI (Pierre et Marie Curie))  EE/CS 3180  SP7.1331.09 
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
11:00am11:50am  Transonic flows and isometric embeddings  Dehua Wang (University of Pittsburgh)  EE/CS 3180  SP7.1331.09 
12:00pm2:00pm  Lunch  SP7.1331.09  
2:00pm2:50pm  Instantaneous boundarytangency of singularity curves in compressible fluid flow  David Hoff (Indiana University)  EE/CS 3180  SP7.1331.09 
3:00pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
4:00pm4:50pm  Discussion: Coupling Hyperbolic and elliptic/parabolic systems: state of the art, open problems, new models  Benoit Perthame (Université de Paris VI (Pierre et Marie Curie))  EE/CS 3180  SP7.1331.09 
All Day  Morning Chair: Marta Lewicka
(University of Minnesota) Afternoon Chair: Denis Serre (École Normale Supérieure de Lyon)  SP7.1331.09  
All Day  Work on projects till afternoon. Lind Hall 400  SW6.297.31.09  
8:30am9:00am  Coffee  EE/CS 3176  SP7.1331.09  
9:00am9:50am  The nature of viscous dissipation in systems of conservation laws  Denis Serre (École Normale Supérieure de Lyon)  EE/CS 3180  SP7.1331.09 
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
11:00am11:50am  Kinetic relations and beyond  Lev Truskinovsky (École Polytechnique)  EE/CS 3180  SP7.1331.09 
12:00pm2:00pm  Lunch  SP7.1331.09  
2:00pm2:50pm  Quantum fluids and related problems  Pierangelo Marcati (Università di L'Aquila)  EE/CS 3180  SP7.1331.09 
2:00pm3:00pm  The development of a similarity solution for a Stefan like problem, with two moving boundaries, related to the growth of a sediment ocean basin  Vaughan R. Voller (University of Minnesota)  Lind Hall 409  SW6.297.31.09 
3:00pm3:10pm  Group Photo  SP7.1331.09  
3:10pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
4:00pm4:50pm  Discussion: Dissipation in systems of conservation laws  Denis Serre (École Normale Supérieure de Lyon)  EE/CS 3180  SP7.1331.09 
All Day  Work on projects till afternoon. Lind Hall 400  SW6.297.31.09  
All Day  Morning Chair: Pierangelo Marcati
(Università di L'Aquila) Afternoon Chair: Nader Masmoudi (New York University)  SP7.1331.09  
8:30am9:00am  Coffee  EE/CS 3176  SP7.1331.09  
9:00am9:50am  Global existence for small data water waves  Nader Masmoudi (New York University)  EE/CS 3180  SP7.1331.09 
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
11:00am11:50am  Kinetic relations for undercompressive shocks. Physical, mathematical, and numerical issues  Philippe G. LeFloch (Université de Paris VI (Pierre et Marie Curie))  EE/CS 3180  SP7.1331.09 
12:00pm2:00pm  Lunch  SP7.1331.09  
1:30pm5:00pm  Trip to the State Capitol/Downtown St. Paul  State Capitol/Downtown St. Paul  SW6.297.31.09  
2:00pm2:50pm  Reduced theories in nonlinear elasticity  Marta Lewicka (University of Minnesota)  EE/CS 3180  SP7.1331.09 
3:00pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
4:00pm4:50pm  Discussion: Free boundary problems related to water waves  Nader Masmoudi (New York University)  EE/CS 3180  SP7.1331.09 
6:30pm8:30pm  Workshop dinner at Kikugawa at Riverplace  Kikugawa at Riverplace 43 Main Street SE Minneapolis MN 55414 6123783006 
SP7.1331.09 
All Day  Morning Chair: Helge Holden
(Norwegian University of Science and Technology (NTNU)) Afternoon Chair: Luigi Ambrosio (Scuola Normale Superiore)  SP7.1331.09  
All Day  3:00pm All groups meet together. Each group gives presentation on progress and results. Lind Hall 409  SW6.297.31.09  
8:30am9:00am  Coffee  EE/CS 3176  SP7.1331.09  
9:00am9:50am  Flows in the space of probability measures and convergence of Wigner transforms  Luigi Ambrosio (Scuola Normale Superiore)  EE/CS 3180  SP7.1331.09 
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
11:00am11:50am  Monge problem in geodesic spaces  Stefano Bianchini (International School for Advanced Studies (SISSA/ISAS))  EE/CS 3180  SP7.1331.09 
12:00pm2:00pm  Lunch  SP7.1331.09  
2:00pm2:50pm  Optimal transport for the system of isentropic Euler equations  Michael Westdickenberg (Georgia Institute of Technology)  EE/CS 3180  SP7.1331.09 
3:00pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
4:00pm4:50pm  Discussion: Continuity equations and flows: recent results and open problems  Luigi Ambrosio (Scuola Normale Superiore)  EE/CS 3180  SP7.1331.09 
All Day  Chair: Athanasios Tzavaras (University of Maryland)  SP7.1331.09  
All Day  No events scheduled.  SW6.297.31.09  
8:30am9:00am  Coffee  EE/CS 3176  SP7.1331.09  
9:00am9:50am  Convergence of operator splitting for the KdV equation  Helge Holden (Norwegian University of Science and Technology (NTNU))  EE/CS 3180  SP7.1331.09 
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
11:00am11:50am  Wellposedness results for the transport equation, and applications to the chromatography system  Laura Valentina Spinolo (Scuola Normale Superiore)  EE/CS 3180  SP7.1331.09 
All Day  No scheduled activity.  SP7.1331.09  
All Day  No events scheduled.  SW6.297.31.09 
All Day  Morning Chair: Alberto Bressan
(Penn State University) Afternoon Chair: Yuxi Zheng (Pennsylvania State University)  SP7.1331.09  
All Day  9:00am Separate group meetings. Work all day on projects. Lind Hall 400  SW6.297.31.09  
8:30am9:00am  Coffee  EE/CS 3176  SP7.1331.09  
9:00am9:50am  Semihyperbolic patches of solutions to twodimensional compressible Euler systems  Yuxi Zheng (Pennsylvania State University)  EE/CS 3180  SP7.1331.09 
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
Rarefaction wave interaction for the unsteady transonic small disturbance equation  Katarina Jegdic (University of HoustonDowntown)  
11:00am11:50am  Nonlinear surface waves and the loss of uniform Lopatinski stability in IBVPs for hyperbolic conservation laws  John K. Hunter (University of California, Davis)  EE/CS 3180  SP7.1331.09 
12:00pm2:00pm  Lunch  SP7.1331.09  
2:00pm2:50pm  Symmetric waves for conservation laws  Helge Kristian Jenssen (Pennsylvania State University)  EE/CS 3180  SP7.1331.09 
3:00pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
4:00pm4:50pm  Discussion  Yuxi Zheng (Pennsylvania State University)  EE/CS 3180  SP7.1331.09 
All Day  Morning Chair: Barbara Keyfitz
(Ohio State University) Afternoon Chair: Athanasios Tzavaras (University of Maryland)  SP7.1331.09  
All Day  Work all day on projects. Lind Hall 400  SW6.297.31.09  
8:30am9:00am  Coffee  EE/CS 3176  SP7.1331.09  
9:00am9:50am  Adiabatic shear bands in high strainrate plasticity  Athanasios E. Tzavaras (University of Maryland)  EE/CS 3180  SP7.1331.09 
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
Global BV for a model of granular flow  Wen Shen (Pennsylvania State University)  
The slow erosion limit in a model of granular flow  Wen Shen (Pennsylvania State University)  
11:00am11:50am  Global BV for a model of granular flow  Wen Shen (Pennsylvania State University)  EE/CS 3180  SP7.1331.09 
12:00pm2:00pm  Lunch  SP7.1331.09  
2:00pm2:50pm  Homogenization of degenerate porous medium type equations in ergodic algebras  Hermano Frid (Institute of Pure and Applied Mathematics (IMPA))  EE/CS 3180  SP7.1331.09 
2:50pm6:00pm  Trip to St. Anthony Falls Laboratory  St. Anthony Falls Laboratory  SW6.297.31.09  
3:00pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
4:00pm4:50pm  Discussion: Conservation laws in elasticity  Athanasios E. Tzavaras (University of Maryland)  EE/CS 3180  SP7.1331.09 
All Day  Work on projects till afternoon. Lind Hall 400 2:00pm Separate group meetings. Lind Hall 400  SW6.297.31.09  
All Day  Morning Chair: Dehua Wang (University of Pittsburgh)
Afternoon Chair: James G. Glimm (SUNY)  SP7.1331.09  
8:30am9:00am  Coffee  EE/CS 3176  SP7.1331.09  
9:00am9:50am  Mathematical and numerical principles for turbulent mixing  James G. Glimm (SUNY)  EE/CS 3180  SP7.1331.09 
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
11:00am11:50am  Charge transport in an incompressible fluid medium  Joseph W. Jerome (Northwestern University)  EE/CS 3180  SP7.1331.09 
12:00pm2:00pm  Lunch  SP7.1331.09  
2:00pm2:50pm  Stability of rotating white dwarf stars  Tao Luo (Georgetown University)  EE/CS 3180  SP7.1331.09 
3:00pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
3:00pm4:00pm  Modeling the earth's glacial cycles  Richard P. McGehee (University of Minnesota)  Lind Hall 409  SW6.297.31.09 
4:00pm4:50pm  Discussion topic: Conservation laws in higher spatial dimensions: Euler vs. NavierStokes; theory and computation  James G. Glimm (SUNY)  EE/CS 3180  SP7.1331.09 
All Day  Morning Chair: Joseph W. Jerome
(Northwestern University) Afternoon Chair: Suncica Canic (University of Houston)  SP7.1331.09  
All Day  Work on projects. Lind Hall 400 Evaluations solicited. Lind Hall 400 4:30 pm Final written report (LaTeX) and high quality poster due. Lind Hall 409  SW6.297.31.09  
8:30am9:00am  Coffee  EE/CS 3176  SP7.1331.09  
9:00am9:50am  A hyperbolicparabolic 3D axially symmetric fluidstructure interaction problem arising in blood flow modeling  Suncica Canic (University of Houston)  EE/CS 3180  SP7.1331.09 
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
11:00am11:50am  Global regularity of solutions to systems of reactiondiffusion with subquadratic growth in any dimension  Alexis Frederic Vasseur (University of Texas)  EE/CS 3180  SP7.1331.09 
12:00pm2:00pm  Lunch  SP7.1331.09  
2:00pm2:50pm  Conservation laws on networks  Mauro Garavello (Università del Piemonte Orientale "Amedeo Avogadro")  EE/CS 3180  SP7.1331.09 
3:00pm4:00pm 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
4:00pm4:50pm  Discussion  Suncica Canic (University of Houston)  EE/CS 3180  SP7.1331.09 
6:30pm8:30pm  Workshop dinner at Pagoda  Pagoda Restaurant 1417 4th St. SE Minneapolis, MN 6123784710 
SP7.1331.09 
All Day  10:00am11:00am Poster Session,
Lind Hall 400
11:00am11:30am Closing, Lind Hall 409  SW6.297.31.09  
All Day  Chair: Alberto Bressan (Penn State University)  SP7.1331.09  
8:30am9:00am  Coffee  EE/CS 3176  SP7.1331.09  
9:00am9:50am  Well posedness and control in models based on conservation laws  Rinaldo Mario Colombo (Università di Brescia)  EE/CS 3180  SP7.1331.09 
10:00am11:00am 
Coffee Break and Poster Session Poster submissions welcome from all participants Instructions  EE/CS 3176  SP7.1331.09  
11:00am11:50am  The sonic line as a free boundary: Stability under perturbations  Barbara Lee Keyfitz (Ohio State University)  EE/CS 3180  SP7.1331.09 
11:50am12:00pm  Closing Remarks  EE/CS 3180  SP7.1331.09 
Event Legend: 

SP7.1331.09  Nonlinear Conservation Laws and Applications 
SW6.297.31.09  IMA Interdisciplinary Research Experience for Undergraduates 
Luigi Ambrosio (Scuola Normale Superiore)  Flows in the space of probability measures and convergence of Wigner transforms 
Abstract: We provide an extension of the theory of flows in Euclidean spaces associated to wekly differentiable velocity fields, replacing the Euclidean state space with the space of probability measure. This way, the continuity equation can be viewed as an ODE in the space of probability measures and we provide some wellposedness and stability results. We illustrate, as an example and a basic motivation for the development of the theory, the problem of convergence of Wigner transforms in Quantum Mechanics.  
Luigi Ambrosio (Scuola Normale Superiore)  Discussion: Continuity equations and flows: recent results and open problems 
Abstract: No Abstract  
Stefano Bianchini (International School for Advanced Studies (SISSA/ISAS))  Monge problem in geodesic spaces 
Abstract: No Abstract  
Alberto Bressan (Pennsylvania State University)  A tutorial on hyperbolic conservation laws. Lecture 1 
Abstract: This set of lectures will provide a basic introduction to
hyperbolic systems of conservation laws in one space dimension.
The main topics covered will be:


Alberto Bressan (Pennsylvania State University)  A tutorial on hyperbolic conservation laws. Lecture 2 
Abstract: Same abstract as lecture 1.  
Alberto Bressan (Pennsylvania State University)  A tutorial on hyperbolic conservation laws. Lecture 3 
Abstract: Same abstract as lecture 1.  
Alberto Bressan (Pennsylvania State University)  A tutorial on hyperbolic conservation laws. Lecture 4 
Abstract: Same abstract as lecture 1.  
Suncica Canic (University of Houston)  A hyperbolicparabolic 3D axially symmetric fluidstructure interaction problem arising in blood flow modeling 
Abstract: No Abstract  
Suncica Canic (University of Houston)  Discussion 
Abstract: No Abstract  
GuiQiang G. Chen (Northwestern University)  An introduction to multidimensional conservation laws. Lecture 1 
Abstract: This series of four lectures will provide an introduction
to multidimensional conservation laws, along with a perspective on a
list of open problems. The main topics will include:
Lecture References:
*You may directly download them from http://www.math.northwestern.edu/~gqchen/preprints/ 

GuiQiang G. Chen (Northwestern University)  An introduction to multidimensional conservation laws. Lecture 2 
Abstract: Same abstract as lecture 1.  
GuiQiang G. Chen (Northwestern University)  An introduction to multidimensional conservation laws. Lecture 3 
Abstract: Same abstract as lecture 1.  
GuiQiang G. Chen (Northwestern University)  An introduction to multidimensional conservation laws. Lecture 4 
Abstract: Same abstract as lecture 1.  
Bin Cheng (University of Michigan)  On the classical solutions of two dimensional inviscid rotating shallow water system 
Abstract: Joint work with with Chunjing Xie. We prove global existence and asymptotic behavior of classical solutions for two dimensional inviscid Rotating Shallow Water system with small initial data subject to the zerorelativevorticity constraint. Such global existence is in contrast with the finite time breakdown of compressible Euler equations in two and three dimensions. A key step in our proof is reformulation of the problem into a symmetric quasilinear KleinGordon system, which is then studied with combination of the vector field approach and the normal forms. We also probe the case of general initial data and reveal a lower bound for the lifespan that is almost inversely proportional to the size of the initial relative vorticity.  
Rinaldo Mario Colombo (Università di Brescia)  Well posedness and control in models based on conservation laws 
Abstract: Given a model based on a conservation law, we study how the solution depends from the initial/boundary datum, from the flow and from various constraints. With this tool, several control problems can be addressed and the existence of an optimal control can be proved. Models describing escape dynamics of pedestrians, traffic at toll gates, open canals management and fluid flow in gas pipelines fall within this framework. In particular, a necessary condition for optimality is obtained, which applies to a supply chain model.  
Constantine Dafermos (Brown University)  Introduction to conservation laws 
Abstract: I am planning to convey a feel for the area by touching upon its history, its general features, the current directions, etc., paving the way for the more technical lectures by others.  
Liviu Florin Dinu (Romanian Academy of Sciences)  Gasdynamic regularity and nondegeneracy: some classifying remarks 
Abstract: We consider two gasdynamic contexts: an isentropic context and, respectively, an anisentropic context of a special type. Some [multidimensional] classes of regular solutions [simple waves solutions and regular interactions of simple waves solutions] can be constructively associated to the isentropic context, in presence of an ad hoc requirement of genuine nonlinearity, via a Burnat type ["algebraic"] approach [centered on a duality connection between the hodograph character and the physical character]. The "algebraic" construction fails generally [for geometrical and/or physical reasons] in the mentioned anisentropic context. Incidentally, in this case the "algebraic" construction can be replaced by a Martin type ["differential"] approach [centered on a MongeAmpere type representation]. Some classes [unsteady 1D; steady supersonic] of regular solutions [pseudo simple waves solutions, regular interactions of pseudo simple waves solutions] can be constructed in this case via a "linearized" version of the "differential" approach. Some contrasts and consonances are considered, in a classifying parallel, between the two approaches ["algebraic", "differential"] and the two classes [isentropic, anisentropic] of regular solutions respectively associated. This is a joint work with Marina Ileana Dinu.  
Carlotta Donadello (Northwestern University)  On the approximation of conservation laws by vanishing viscosity 
Abstract: We consider a piecewise smooth solution to a scalar conservation law, with possibly interacting shocks. After the interactions have taken place, vanishing viscosity approximations can still be represented by a regular expansion on smooth regions and by a singular perturbation expansion near the shocks, in terms of powers of the viscosity coefficient.  
Volker Wilhelm Elling (University of Michigan)  Nonuniqueness of entropy solutions and the carbuncle phenomenon 
Abstract: In one space dimension, the Godunov scheme can only converge to entropy solutions, for which uniqueness theorems in various classes are known. We present an example in 2d where the Godunov scheme converges, depending on the grid, either to an exact entropy solution or to a second, numerical solution, which is also produced by all other numerical schemes tested. We propose that entropy solutions are not unique in 2d. The observation also yields an explanation for the "carbuncle phenomenon", an instability in numerical calculations of shock waves. Thus fundamental consequences both for numerics and theory.  
Eduard Feireisl (Czech Academy of Sciences (AVČR))  Asymptotic analysis in thermodynamics of viscous fluids. Lecture 1 
Abstract: Singular limits in the theory of partial differential equations
represent a class of problems, where some parameters in the equations become
small or infinitely large. We discuss the singular limits arising in the scale
analysis of energetically isolated fluid systems. In particular,
the following topics are addressed:


Eduard Feireisl (Czech Academy of Sciences (AVČR))  Asymptotic analysis in thermodynamics of viscous fluids. Lecture 2 
Abstract: Same abstract as lecture 1.  
Eduard Feireisl (Czech Academy of Sciences (AVČR))  Asymptotic analysis in thermodynamics of viscous fluids. Lecture 3 
Abstract: Same abstract as lecture 1.  
Eduard Feireisl (Czech Academy of Sciences (AVČR))  Asymptotic analysis in thermodynamics of viscous fluids. Lecture 4 
Abstract: Same abstract as lecture 1.  
Mikhail Feldman (University of Wisconsin)  Existence and stability of global solutions to shock reflection problem 
Abstract: In this talk we will start with discussion of shock reflection phenomena. Then we describe recent results on existence and stability of global solutions to regular shock reflection for potential flow for all wedge angles up to the sonic angle, and discuss the techniques. The approach is to reduce the shock reflection problem to a free boundary problem for a nonlinear elliptic equation, with ellipticity degenerate near a part of the boundary (the sonic arc). We will discuss techniques to handle such free boundary problems and degenerate elliptic equations. This is a joint work with GuiQiang Chen.  
Hermano Frid (Institute of Pure and Applied Mathematics (IMPA))  Homogenization of degenerate porous medium type equations in ergodic algebras 
Abstract: No Abstract  
Mauro Garavello (Università del Piemonte Orientale "Amedeo Avogadro")  Conservation laws on networks 
Abstract: In this talk we consider a conservation law (or a system of conservation laws) on a network consisting in a finite number of arcs and vertices. This setting is justified by various applications, such as car traffic, gas pipelines, data networks, supply chains, blood circulation and so on. The key point in the extension of conservation laws on networks is to define solutions at vertices. Indeed, it is sufficient to define solutions only for Riemann problems at vertices, i.e. Cauchy problems with constant initial data in each arc of the junction. We present some different possibilities to produce solutions to Riemann problems at vertices. Moreover we consider the general Cauchy problem on the network. We explain how to prove existence of a solution both in the scalar case and in the case of systems. In particular, for the scalar case, we introduce general properties on Riemann solvers at vertices, which permit to have existence of solutions for the Cauchy problem.  
James G. Glimm (SUNY)  Mathematical and numerical principles for turbulent mixing 
Abstract: Numerical approximation of fluid equations are reviewed. We identify numerical mass diffusion as a characteristic problem in most simulation codes. This fact is illustrated by an analysis of fluid mixing flows. In these flows, numerical mass diffusion has the effect of over regularizing the solution. A number of startling conclusions have recently been observed. For a flow accelerated by multiple shock waves, we observe an interface between the two fluids proportional to Delta x1, that is occupying a constant fraction of the available mesh degrees of freedom. This result suggests (a) nonconvergence for the unregularized mathematical problem or (b) nonuniqueness of the limit if it exists, or (c) limiting solutions only in the very weak form of a space time dependent probability distribution. The cure for this pathology is a regularized solution, in other words inclusion of all physical regularizing effects, such as viscosity and physical mass diffusion. In other words, the amount of regularization of an unstable flow is of central importance. Too much regularization, with a numerical origin, is bad, and too little, with respect to the physics, is also bad. At the level of numerical modeling, the implication from this insight is to compute solutions of the NavierStokes, not the Euler equations. Resolution requirements for realistic problems make this solution impractical in most cases. Thus subgrid transport processes must be modeled, and for this we use dynamic models of the turbulence modeling community. In the process we combine and extend ideas of the capturing community (sharp interfaces or numerically steep gradients) with conventional turbulence models, usually applied to problems relatively smooth at a grid level. The numerical strategy is verified with a careful study of a 2D RichtmyerMeshkov unstable turbulent mixing problem. We obtain converged solutions for such molecular level mixing quantities as a chemical reaction rate. The strategy is validated (comparison to laboratory experiments) through the study of three dimensional RayleighTaylor unstable flows.  
James G. Glimm (SUNY)  Discussion topic: Conservation laws in higher spatial dimensions: Euler vs. NavierStokes; theory and computation 
Abstract: No Abstract  
Michael Herty (RWTH Aachen)  Optimal nodal control of networked systems of conservation laws 
Abstract: In applications of flow in gas and water networks the 1d psystem is used to describe the flow in pipes. The dynamics of each pipe is coupled at a node through coupling conditions inducing boundary conditions. We study the wellposedness of these initial boundary value problems of 2×2 balance laws for a set of general possibly timedependent coupling conditions.  
David Hoff (Indiana University)  Instantaneous boundarytangency of singularity curves in compressible fluid flow 
Abstract: We show that, for a model system of compressible fluid flow in the upper half space of the plane, curves which intersect the boundary and across which the initial density is discontinuous become tangent to the boundary instantaneously in time. This result is closely related to the instantaneous formation of cusps in twodimensional incompressible vortex patches.  
Helge Holden (Norwegian University of Science and Technology (NTNU))  Convergence of operator splitting for the KdV equation 
Abstract: We consider the KdV equation used for modeling, e.g., water waves in a narrow channel. The time evolution is described by a quadratic (Burgers') plus a linear (Airy) term. Since the evolution of each of these terms is quite different, it is natural to ask whether the concatenation of the evolution operators for each term yields an approximation to the evolution operator for the sum. This strategy has been used with good results when designing numerical methods for the KdV equation, but without rigourous convergence proofs. The aim of this talk is to present a first step in this direction, and show convergence of operator splitting for sufficiently regular initial data. (Joint work with N. H. Risebro, K. H. Karlsen, T. Tao.)  
Russell J. Holmes (University of Minnesota)  Organic semiconductors for flexible solar cells 
Abstract: No Abstract  
Xianpeng Hu (University of Pittsburgh), Dehua Wang (University of Pittsburgh)  Global strong solutions to densitydependent viscoelasticity and liquid crystal 
Abstract: The global strong solutions to the multidimensional viscoelastic fluids and liquid crystals are discussed. Here, a strong solution is a solution in W^{2,q} satisfying the equations almost everywhere.  
John K. Hunter (University of California, Davis)  Nonlinear surface waves and the loss of uniform Lopatinski stability in IBVPs for hyperbolic conservation laws 
Abstract: The KriessSakamoto theory for the wellposedness of hyperbolic IBVPs and the Majda theory for shockwave stability apply under the assumption that a suitable Lopatinski condition holds uniformly. The failure of uniformity is associated with the presence of surface waves on the boundary or discontinuity. We will derive asymptotic equations for "genuine" nonlinear surface waves that decay exponentially away from the surface, such as Rayleigh waves in elasticity or surface waves on a tangential discontinuity in MHD. We will give a shorttime existence theorem for smooth solutions of the asymptotic equations under a "tameness" condition on the interaction coefficients between the Fourier components of the surface wave, which prevents the loss of derivatives. We will also show numerical solutions of the asymptotic equations that illustrate singularity formation on the boundary (a mechanism which differs from shock formation in the interior).  
Katarina Jegdic (University of HoustonDowntown)  Rarefaction wave interaction for the unsteady transonic small disturbance equation 
Abstract: We study a Riemann problem for the unsteady transonic small disturbance equation that results in a diverging rarefaction problem. We write the problem in selfsimilar coordinates and obtain a free boundary value problem with equations that change type (hyperbolicelliptic). We summarize the main ideas and present the main features of the problem. The flow in the hyperbolic part can be described as a solution of a degenerate Goursat boundary problem, the interaction of the rarefaction wave with the subsonic region is illustrated and the subsonic flow is shown to satisfy a second order degenerate elliptic boundary problem with mixed boundary conditions. This is joint work with Jun Chen and Cleopatra Christoforou (University of Houston).  
Helge Kristian Jenssen (Pennsylvania State University)  Symmetric waves for conservation laws 
Abstract: Motivated by the problem of symmetric collapsing gasdynamical shocks we present a scalar toy model that captures blowup of focusing waves. This model is simple enough to allow for explicit calculations, and we study some solutions in detail. As a scalar model it does not describe reflection of waves and this necessitates a new concept of weak solutions. Returning to gasdynamics we review a part of the extensive literature on compressible flow with symmetry, and collapsing shocks in particular. We outline an approach to study possible blowup for collapsing shocks.  
Joseph W. Jerome (Northwestern University)  Charge transport in an incompressible fluid medium 
Abstract: Conservation laws, together with the Gauss law for electrostatics, have been used to model charge transport in solid state semiconductors and in electrolytes for several decades. The determination of the current density is an important aspect of the modeling. In applications to ion channels, and to electrodiffusion more generally, there has been recent interest in the effects of the ambient fluid on current density. We discuss the mathematical model for this case: the PoissonNernstPlanck/NavierStokes model. The Cauchy problem was investigated by the speaker in [Transport Theory Statist. Phys. 31 (2002), 333366], where a local existenceuniqueness theory was demonstrated, based upon Kato's framework for evolution equations. In this talk, the proof of existence of a global distribution solution for the model is discussed, in the case of the initialboundary value problem. Connection of the above analysis to significant applications is also discussed.  
Mathew A. Johnson (Indiana University)  Modulational instability of periodic waves 
Abstract: Using periodic Evans function expansions, we derive geometric criterion for the modulational instability, i.e. spectral instability to longwavelength perturbations, of periodic traveling waves of the generalized KdV equation. Such techniques have also recently proven useful for analyzing spectral stability to longwavelength transverse perturbations, as well as studying nonlinear stability to periodic perturbations. Using standard elliptic function techniques, we can explicitly calculate the necessary geometric information for polynomial nonlinearities: we will only present the results for KdV and modified KdV equations here. This is joint work with Jared. C. Bronski (University of Illinois at UrbanaChampaign).  
Barbara Lee Keyfitz (Ohio State University)  The sonic line as a free boundary: Stability under perturbations 
Abstract: The study of selfsimilar solutions of multidimensional conservation laws leads to systems of equations that change type. Change of type occurs either across a transonic shock or at a sonic line. Often the sonic line appears as a free boundary in the formulation of the problem. Some recent numerical (and experimental) discoveries of a new kind of shock reflection ('Guderley Mach reflection') lead to interesting and still unresolved questions concerning the nature of the selfsimilar solutions in this generic case. In this talk, I will present some analysis of a simple model for this phenomenon, using the transonic small disturbance equation. The simplified problem seems amenable to analysis, but we are just beginning to make progress. This is a report on current joint work with Allen Tesdall and Kevin Payne.  
Christian F Klingenberg (BayerischeJuliusMaximiliansUniversität Würzburg)  Compressible turbulence modelling in astrophysics 
Abstract: We present a numerical method for the compressible Euler equations in 3 space dimensions where we combine adaptive mesh refinement with subgrid scale modelling. This increases efficiency and accuracy when computing turbulent flows. We apply this to astrophysical problems.  
Philippe G. LeFloch (Université de Paris VI (Pierre et Marie Curie))  Kinetic relations for undercompressive shocks. Physical, mathematical, and numerical issues 
Abstract: I will discuss the existence and properties of smallscale dependent shock waves to nonlinear hyperbolic systems, with an emphasis on the theory of nonclassical entropy solutions involving undercompressive shocks. Regularizationsensitive structures often arise in continuum physics, especially in flows of complex fluids or solids. The socalled kinetic relation was introduced for van der Waals fluids and austenitemartensite boundaries (Abeyaratne, Knowles, Truskinovsky) and nonlinear hyperbolic systems (LeFloch) to characterize the correct dynamics of subsonic phase boundaries and undercompressive shocks, respectively. The role of a single entropy inequality is essential for these problems and is tied to the regularization associated with higherorder underlying models –which take into account additional physics and provide a description of smallscale effects. In the last fifteen years, analytical and numerical techniques were developed, beginning with the construction of nonclassical Riemann solvers, which were applied to tackle the initialvalue problem via the Glimm scheme. Total variation functionals adapted to nonclassical entropy solutions were constructed. On the other hand, the role of traveling waves in selecting the proper shock dynamics was stressed: traveling wave solutions (to the NavierStokesKorteweg system, for instance) determine the relevant kinetic relation –as well as the relevant family of paths in the context of nonconservative systems. Several physical applications were pursued: (hyperbolicelliptic) equations of van der Waals fluids, model of thin liquid films, generalized CamassaHolm equations, etc. Importantly, finite difference schemes with controled dissipation based on the equivalent equation were designed and the corresponding kinetic functions computed numerically. Consequently, `several shock wave theories' are now available to encompass the variety of phenomena observed in complex flows. References: 1993: P.G. LeFloch, Propagating phase boundaries. Formulation of the problem and existence via the Glimm scheme, Arch. Rational Mech. Anal. 123, 153–197. 1997: B.T. Hayes and P.G. LeFloch, Nonclassical shocks and kinetic relations. Scalar conservation laws, Arch. Rational Mech. Anal. 139, 1–56. 2002: P.G. LeFloch, Hyperbolic Systems of Conservation Laws. The theory of classical and nonclassical shock waves, Lectures in Mathematics, ETH Zurich, Birkhauser. 2004: N. Bedjaoui and P.G. LeFloch, Diffusivedispersive traveling waves and kinetic relations. V. Singular diffusion and dispersion terms, Proc. Royal Soc. Edinburgh 134A, 815–844. 2008: P.G. LeFloch and M. Mohamadian, Why many shock wave theories are necessary. Fourthorder models, kinetic functions, and equivalent equations, J. Comput. Phys. 227, 4162–4189.  
Nicholas Matthew Leger (University of Texas)  L^{2} stability estimates for shock solutions of scalar conservation laws using the relative entropy method 
Abstract: We consider scalar nonviscous conservation laws with strictly convex flux in one space dimension, and we investigate the behavior of bounded L^{2} perturbations of shock wave solutions to the Riemann problem using the relative entropy method. We show that up to a timedependent translation of the shock, the L^{2} norm of a perturbed solution relative to the shock wave is bounded above by the L^{2} norm of the initial perturbation.  
Marta Lewicka (University of Minnesota)  Reduced theories in nonlinear elasticity 
Abstract: Elastic materials exhibit qualitatively different responses to different kinematic boundary conditions or body forces. As a first step towards understanding the related evolutionary problem, one studies the minimizers of an appropriate nonlinear elastic energy functional. We shall give an overview of recent results, rigorously deriving 2d elasticity theories for thin 3d shells around midsurfaces of arbitrary geometry. One major ingredient is the study of Sobolev spaces of infinitesimal isometries on surfaces, their density and matching properties. Another one relates to the nonEuclidean version of 3d nonlinear elasticity, conjectured to explain the mechanism for spontaneous formation of nonzero stress equilibria in growing tissues (leaves, flowers). Here, we prove a Gammaconvergence result, and as a corollary, we obtain new conditions for existence of isometric immersions of 2d Riemannian metrics into 3d space.  
TaiPing Liu (Stanford University)  Kinetic theory and gas dynamics 
Abstract: The study of shock wave theory for hyperbolic and viscous conservation laws is a good starting point for the study of certain aspects of kinetic theory. It offers different perspective and techniques than those coming from statistical mechanics. The main difference is the emphasis on the fluid dynamical phenomena. However, it is also important to realize that kinetic theory offers more than gas dynamics, particularly when it comes to the shock, initial and boundary layers. Also, depending on the physical situations, different fluid dynamics equations are derived from the Boltzmann equation. We will comment on these issues and present some recent results on invariant manifolds for stationary Boltzmann equation.  
TaiPing Liu (Stanford University)  Discussion: Kinetic theory and gas dynamics 
Abstract: No Abstract  
Tao Luo (Georgetown University)  Stability of rotating white dwarf stars 
Abstract: I will present some results on the existence and nonlinear stability for the rotating star solutions which are axisymmetric steadystate solutions of the compressible isentropic EulerPoisson equations in 3 spatial dimensions. We then apply these results to rotating white dwarf stars to show its dynamical stability when the total mass is less than a critical mass, which is related to the "Chandrasekhar"limit in astrophysics. This is a joint work with Joel Smoller.  
Pierangelo Marcati (Università di L'Aquila)  Quantum fluids and related problems 
Abstract: It will be reviewed briefly various physical models leading to a description based on Quantum Hydrodynamics: Superfluidity, BEC, superconductivity, semiconductors and there will be recalled various derivations of the PDE system. The main result (joint with P. Antonelli) shows the global existence of "irrotational" weak solutions with the sole assumption of finite energy, without any smallness or any further smoothness of the initial data. The approach is based on various tools, namely the wave functions polar decomposition, the construction of approximate solution via a fractional steps method which iterates a Schrödinger Madelung picture with a suitable wave function updating mechanism. Therefore several a priori bounds of energy, dispersive and local smoothing type, allow to prove the compactness of the approximating sequences. A different approach can be used to study small disturbances of subsonic (in the QHD sense) steady states. Some improvements may are shown to be possible in the 2D analysis.  
Nader Masmoudi (New York University)  Global existence for small data water waves 
Abstract: We prove the global existence of regular solutions to the water waves problem in 3D. The proof is based on the combinaison of energy estimates and dispersive estimates. This is a joint work with Pierre Germain and Jalal Shatah.  
Nader Masmoudi (New York University)  Discussion: Free boundary problems related to water waves 
Abstract: No Abstract  
Richard P. McGehee (University of Minnesota)  Modeling the earth's glacial cycles 
Abstract: No Abstract  
Sarka Necasova (Czech Academy of Sciences (AVČR))  On the motion of several rigid bodies in an incompressible nonNewtonian and heatconducting fluid 
Abstract: We will consider the problem of the motion of several rigid bodies in viscous nonNewtonian heat fluid in bounded domain in three dimensional situation.Using penalization method developed by Conca, San Martin, Tucsnak and Starovoitov we have shown the existence of weak solution and moreover we show that for certain nonnewtonian fluids there are no collisions among bodie or body and boundary of domain.  
Toan Nguyen (Indiana University)  Stability of noncharacteristic viscous boundary layers 
Abstract: We present our recent results on one and multidimensional asymptotic stability of noncharacteristic boundary layers in gas dynamics (or a more general class of hyperbolicparabolic systems) with suction or blowingtype boundary conditions. The linearized and nonlinear stability is established for layers with arbitrary amplitudes, under the assumption of strong spectral, or uniform Evans, stability. The latter assumption has been verified for smallamplitude layers in oned case by various authors using energy estimates and in multid case by Guès, Métivier, Williams, and Zumbrun. For largeamplitude layers, it may be efficiently checked numerically by a combination of asymptotic ODE estimates and numerical Evans function computations. This is a joint work with Kevin Zumbrun.  
Duane Nykamp (University of Minnesota)  Toward a second order description of neuronal networks 
Abstract: No Abstract  
Reza Pakzad (University of Pittsburgh)  Elasticity of thin shells and Sobolev spaces of isometries 
Abstract: We describe the approach through which various elastic shell models are rigorously derived from the 3D nonlinear elasticity theory. Some results and a conjecture on the limiting theories are presented. Spaces of weakly regular isometries or infinitesimal isometries of surfaces arise in this context. Important problems regarding these spaces include rigidity, regularity and density of smooth mappings. This project is partly a collaboration with Marta Lewicka and MariaGiovanna Mora.  
Arshad Ahmud Iqbal Peer (University of Mauritius)  A new fourthorder nonoscillatory central scheme for hyperbolic conservation laws 
Abstract: We propose a new fourthorder nonoscillatory central scheme for computing approximate solutions of hyperbolic conservation laws. A piecewise cubic polynomial is used for the spatial reconstruction and for the numerical derivatives we choose genuinely fourthorder accurate nonoscillatory approximations. The solution is advanced in time using natural continuous extension of RungeKutta methods. Numerical tests on both scalar and gas dynamics problems confirm that the new scheme is nonoscillatory and yields sharp results when solving profiles with discontinuities. Experiments on nonlinear Burgers’ equation indicate that our scheme is superior to existing fourthorder central schemes in the sense that the total variation (TV) of the computed solutions are closer to the total variation of the exact solution.  
Benoit Perthame (Université de Paris VI (Pierre et Marie Curie))  A coupled system of elliptic/conservation law arising in cell selforganization 
Abstract: Several models have been proposed in order to describe cell communities selforganisation. One of them consists in coupling a multidimensional scalar conservation law with an elliptic equation which gradient determines the flux in the conservation law. In dimension larger than 1, the model looses all nice properties of hyperbolic conservation laws: no contraction property, no BV bound, no regularizing effect. That is the reason why our approach for existence of solutions is based on the kinetic formulation. We recall how weak limits can be handled with this tool and strong convergence follows from uniqueness. In the case at hand, the specific nonlinearity creates an additional defect measure. Fine analysis of properties of this measure provides us with the lacking information to prove uniqueness and deduce that the weak limit still satisfies the system.  
Tomasz Piotr Piasecki (Polish Academy of Sciences)  On an inhomogeneous slipinflow boundary value problem for a steady flow of a viscous compressible fluid in a cylindrical domain 
Abstract: We investigate a steady flow of a viscous compressible fluid with inflow boundary condition on the density and inhomogeneous slip boundary conditions on the velocity in a cylindrical domain. We show existence of a strong solution that is a small perturbation of a constant flow (v^{*} = (1,0,0), ρ^{*} = 1). We also show that this solution is unique in the class of small perturbations of (v^{*},ρ^{*}). The nonlinear term in the continuity makes it impossible to apply a fixed point argument. Therefore in order to show the existence of the solution we use a method of successive approximations.  
Olga Rozanova (Moscow State University)  The Riemann problem for the stochastically perturbed nonviscous Burgers equation and the pressureless gas dynamics model 
Abstract: Proceeding from the method of stochastic perturbation of a Langevin system associated with the nonviscous Burgers equation we construct a solution to the Riemann problem for the pressureless gas dynamics and sticky particles system. We analyze the difference in the behavior of discontinuous solution for these two models and relations between them.  
Denis Serre (École Normale Supérieure de Lyon)  The nature of viscous dissipation in systems of conservation laws 
Abstract: In his celebrated thesis, S. Kawashima gave a framework for the analysis of the Cauchy problem for nonlinear viscous systems of conservation laws. Some assumptions are quite natural, while other ones are mysterious and require cumbersome calculations. We clarify the situation, by introducing a set of assumption which is natural and very easy to verify. We derive an existence and uniqueness result of strong solutions, in a slightly larger class than the one known before.  
Wen Shen (Pennsylvania State University)  Global BV for a model of granular flow 
Abstract: We consider a model for the flow of granular matter which was proposed by Hadeler and Kuttler (Granular Matter, 1999). The original model uses the height of the standing layer and the thickness of the moving layer as the unknowns. By introducing the slope the standing layer, one arrives at a 2 by 2 system of balance laws. This system is weakly linearly degenerate at a point. With suitable conditions on the initial data, one can prove the global existence of smooth solutions. Furthermore, we prove the global existence of large BV solutions, for a class of initial data with bounded but possibly large total variation. This is partly a joint work with Debora Amadori, Italy.  
Wen Shen (Pennsylvania State University)  Global BV for a model of granular flow 
Abstract: Same abstract as the talk.  
Wen Shen (Pennsylvania State University)  The slow erosion limit in a model of granular flow 
Abstract: Joint work with Debora Amadori (Università degli Studi dell'Aquila). We study a 2×2 system of balance laws that describes the evolution of a granular material (avalanche) flowing downhill. The original model was proposed by Hadeler and Kuttler. We first consider an initialboundary value problem, where at the boundary the flow of the incoming material is assigned. For this problem we prove the global existence of BV solutions for a suitable class of data, with bounded by possibly large total variations. We then study the "slow erosion (or deposition) limit", obtained as the thickness of the moving layer tends to zero. We show that, in the limit, the profile of the standing layer depends only on the total mass of the avalanche flowing downhill, not on the timelaw describing at which rate the material slides down. More precisely, the limiting slope of the mountain profile is provided by an entropy solution to a scalar integrodifferential conservation law.  
ChiWang Shu (Brown University)  Numerical methods for multidimensional systems of conservation laws. Lecture 1 
Abstract: In this course we will give an introduction to conservative
short capturing numerical methods for solving multidimensional
systems of conservation laws. High order accurate finite
difference, finite volume and discontinuous Galerkin finite
element methods will be covered. We will start with the
basic algorithm issues in a simple scalar one dimensional
setting and then describe the generalization to multidimensional
systems. A comparison among these different numerical methods
will be provided.
Lecture References:
[1] C.W. Shu, Essentially nonoscillatory and weighted essentially nonoscillatory schemes for hyperbolic conservation laws, in Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, B. Cockburn, C. Johnson, C.W. Shu and E. Tadmor (Editor: A. Quarteroni), Lecture Notes in Mathematics, volume 1697, Springer, Berlin, 1998, pp.325432. [2] C.W. Shu, Discontinuous Galerkin methods: general approach and stability, Numerical Solutions of Partial Differential Equations, S. Bertoluzza, S. Falletta, G. Russo and C.W. Shu, Advanced Courses in Mathematics CRM Barcelona, Birkhäuser, Basel, 2009, pp.149201. 

ChiWang Shu (Brown University)  Numerical methods for multidimensional systems of conservation laws. Lecture 2 
Abstract: Same abstract as lecture 1.  
ChiWang Shu (Brown University)  Numerical methods for multidimensional systems of conservation laws. Lecture 3 
Abstract: Same abstract as lecture 1.  
ChiWang Shu (Brown University)  Numerical methods for multidimensional systems of conservation laws. Lecture 4 
Abstract: Same abstract as lecture 1.  
Laura Valentina Spinolo (Scuola Normale Superiore)  Wellposedness results for the transport equation, and applications to the chromatography system 
Abstract: The talk will be based on a joint work with L. Ambrosio, G. Crippa and A. Figalli. First, some new wellposedness results for continuity and transport equations with weakly differentiable velocity fields will be discussed. These results can be applied to the analysis of a 2 x 2 system of conservation laws in one space dimension known as the chromatography system, leading to global existence and uniqueness results for suitable classes of entropy admissible solutions.  
Eitan Tadmor (University of Maryland)  Selected topics in approximate solutions of nonlinear conservation laws 
Abstract: We provide a bird's eye view of a selected topics in approximate solution of nonlinear conservation laws and related time dependent equations. We begin with a discussion on regularity spaces in theory and computation. We will continue with a presentation of the class of highresolution central schemes. We will discuss the issue of entropy stability and conclude with ongoing research on constrained transport.  
Ahmed H. Tewfik (University of Minnesota)  Sparse signal representations and applications 
Abstract: No Abstract  
Lev Truskinovsky (École Polytechnique)  Kinetic relations and beyond 
Abstract: In this talk we discuss discretization based dispersivedissipative regularization of mixed type systems and derive the resulting closure conditions known as kinetic relations. Algebraic kinetic relations link velocities of the undercompressed jump discontinuities with the corresponding driving forces and are widely used to model dynamical response of phase boundaries. To capture the effects of discretization more faithfully we propose to replace algebraic kinetic relations with differential kinetic equations which involve some specially selected collective variables characterizing not only the location of the discontinuity but also the structure of the transition region. Joint work with A. Vainchtein.  
Athanasios E. Tzavaras (University of Maryland)  Adiabatic shear bands in high strainrate plasticity 
Abstract: We consider a system of hyperbolicparabolic equations describing a material instability mechanism associated to the formation of shear bands at high strainrate plastic deformations of metals. We consider the case of adiabatic shearing and derive a quantitative criterion for the onset of instability: Using ideas from the theory of relaxation systems we derive equations that describe the effective behavior of the system. The effective equation turns out to be a forwardbackward parabolic equation regularized by fourth order term. Further, we study numerically the effect of thermal diffusion on the evolution of these bands. It turns out that while localization initially forms at a later stage of the deformation heat diffusion has the power hinder and even altogether suppress localization and even return the evolution to uniform deformation. (joint work with Th. Katsaounis and Th. Baxevanis, Univ. of Crete).  
Athanasios E. Tzavaras (University of Maryland)  Discussion: Conservation laws in elasticity 
Abstract: No Abstract  
Alexis Frederic Vasseur (University of Texas)  Global regularity of solutions to systems of reactiondiffusion with subquadratic growth in any dimension 
Abstract: In this talk, we present the study of the regularity of solutions to some systems of reaction–diffusion equations, with reaction terms having a subquadratic growth. We show the global boundedness and regularity of solutions, without smallness assumptions, in any dimension N. The proof is based on blowup techniques. The natural entropy of the system plays a crucial role in the analysis. It allows us to use of De Giorgi type methods introduced for elliptic regularity with rough coefficients. Even if those systems are entropy supercritical, it is possible to control the hypothetical blowups, in the critical scaling, via a very weak norm.  
Vaughan R. Voller (University of Minnesota)  The development of a similarity solution for a Stefan like problem, with two moving boundaries, related to the growth of a sediment ocean basin 
Abstract: No Abstract  
David H. Wagner (University of Houston)  Elastodynamics, differential forms, and weak solutions 
Abstract: We offer an alternate derivation for the symmetrichyperbolic formulation of the equations of motion for a hyperelastic material with polyconvex stored energy. The derivation makes it clear that the expanded system is equivalent, for weak solutions, to the original system. We consider motions with variable as well as constant temperature. In addition, we present equivalent Eulerian equations of motion, which are also symmetrichyperbolic.  
Dehua Wang (University of Pittsburgh)  Transonic flows and isometric embeddings 
Abstract: Some recent research progresses on the multidimensional compressible Euler equations will be reviewed. In particular, the transonic flows past an obstacle such as an airfoil, and the isometric embeddings in geometry will be discussed. The talk is based on the joint works with GuiQiang Chen and Marshall Slemrod.  
YaGuang Wang (Shanghai Jiaotong University)  Stability of multidimensional contact discontinuities in compressible MHD 
Abstract: In this talk we study the stability of multidimensional contact discontinuities in compressible fluids. There are two kinds of contact discontinuities, one is socalled the vortex sheet, mainly due to that the tangential velocity is discontinuous across the front, and the other one is the entropy wave, for which the velocity is continuous while the entropy has certain jump on the front. It is wellknown that the vortex sheet in two dimensional compressible Euler equations is stable when the Mach number is larger than √2, while in three dimensional problem it is always unstable. But, some physical phenomena indicate that the magnetic field has certain stabilization effect for waves in fluids. The first goal of this talk is to rigorously justify this physical phenomenon, and to investigate the stability of threedimensional currentvortex sheet in compressible magnetohydrodynamics. By using energy method and the NashMoser iteration scheme, we obtain that the currentvortex sheet in threedimensional compressible MHD is linearly and nonlinearly stable when the magnetic fields on both sides of the front are nonparallel to each other. The second goal is to study the stability of entropy waves. By a simple computation, one can easily observe that the entropy wave is structurally unstable in gas dynamics. By carefully studying the effect of magnetic fields on entropy waves, we obtain that the entropy wave in threedimensional compressible MHD is stable when the normal mag netic field is continuous and nonzero on the front. This is a joint work with GuiQiang Chen.  
Ying Wang (Ohio State University)  Central schemes for a new class of entropy solutions of the modified BuckleyLeverett equation 
Abstract: Joint work with ChiuYen Kao. BuckleyLeverett (BL) equation arises in twophase flow problem in porous media. It models the oil recovery by waterdrive in onedimension. Here we propose a central scheme for an extension of the BL equation which includes the dynamic effects in the pressure difference between the two phases and results in a third order mixed derivatives term in the modified BL equation. The numerical scheme is able to capture the admissible shocks which is the socalled nonclassical shock due to the violation of the Oleinik entropy condition.  
Michael Westdickenberg (Georgia Institute of Technology)  Optimal transport for the system of isentropic Euler equations 
Abstract: The isentropic Euler equations form a system of conservation laws modeling compressible fluid flows with constant thermodynamical entropy. Due to the occurence of shock discontinuities, the total energy of the system is decreasing in time. We review the second order calculus on the wasserstein space of probability measures and show how the isentropic Euler equations can be interpreted as a steepest descent equation in this framework. We introduce a variational time discretization based on a sequence of minimization problems, and show that this approximation converges to a suitably defined measurevalued solution of the conservation law. Finally, we present some preliminary results about the numerical implementation of our time discretization.  
Robin Young (University of Massachusetts)  Strong waves and vaccums in isentropic gas dynamics 
Abstract: We give a complete description of nonlinear waves and their pairwise interactions in isentropic gas dynamics. Our analysis includes rarefactions, compressions and shock waves. We describe the interaction in terms of a reference state and incident wave strengths, and give explicit estimates of the outgoing wave strengths. Our estimates are global in that they apply to waves of arbitrary strength, and they are uniform in the incoming reference state. In particular, the estimates continue to hold as this state approaches vacuum. We also consider composite interactions, which can be regarded as a degenerate superposition of pairwise interactions. We construct a class of exact weak solutions which demonstrate some interesting and surprising features of interactions, and use these to demonstrate the collapse of a vacuum: in most cases two shocks will emerge from the vacuum, but in certain asymmetric cases a single shock and a rarefaction may emerge.  
Robin Young (University of Massachusetts)  Periodic solutions to the Euler equations 
Abstract: Joint work with Blake Temple. In this ongoing collaboration with Blake Temple, we attempt to prove the existence of periodic solutions to the Euler equations of gas dynamics. Such solutions have long been thought not to exist due to shock formation, and this is confirmed by the celebrated GlimmLax decay theory for 2×2 systems. However, in the full 3×3 system, multiple interaction effects can combine to slow down and prevent shock formation. We describe the physical mechanism supporting periodicity, analyze combinatorics of simple wave interactions, and develop periodic solutions to a "linearized" problem. These linearized solutions have a beautiful structure and exhibit several surprising and fascinating phenomena. We then consider perturbing these as a bifurcation problem, which leads us to problems of small divisors and KAM theory. As an intermediate step, we find solutions which are periodic to within arbitrarily high Fourier modes.  
Yuxi Zheng (Pennsylvania State University)  Semihyperbolic patches of solutions to twodimensional compressible Euler systems 
Abstract: We show that there are supersonic solutions to the Euler system that are not hyperbolic in the traditional sense. These solutions occur at the transonic region, whose characteristics may both come from the sonic line and end at the sonic line. Based on the new wave structure, we offer perspectives to construct global transonic solutions to the Riemann problems.  
Yuxi Zheng (Pennsylvania State University)  Discussion 
Abstract: No Abstract  
Kevin Zumbrun (Indiana University)  Dynamics of viscous shock waves. Lecture 1: Stability of viscous shock waves 
Abstract: Course abstract: We examine from a classical dynamical systems point of view stability, dynamics, and bifurcation of viscous shock waves and related solutions of nonlinear pde. Lecture 1 abstract: Stability of viscous shock waves. We discuss the basic types of viscous shock waves, the Evans function condition and its meaning, and outline a basic onedimensional stability proof assuming that the Evans condition holds.  
Kevin Zumbrun (Indiana University)  Dynamics of viscous shock waves. Lecture 2: Verification of the Evans condition 
Abstract: Using a combination of numerical Evans function computations and asymptotic ODE analysis, we carry out global stability analyses for interesting examples including ideal gas and parallel MHD shocks, across the entire range of physical parameters: in particular, in the large amplitude or magnetic field limit.  
Kevin Zumbrun (Indiana University)  Dynamics of viscous shock waves.
Lecture 3: Conditional stability and bifurcation 
Abstract: Elaborating on the basic stability theory, we examine conditional stability and Hopf bifurcation of possibly unstable viscous shock waves.  
Kevin Zumbrun (Indiana University)  Dynamics of viscous shock waves.
Lecture 4: Multidimensional dynamics: flow in an infinite cylinder 
Abstract: We discuss finally stability and bifurcation of flow in a channel with periodic boundary conditions: cellular bifurcation, pattern formation, and an Evans function construction for genuinely multidimensional (i.e., nonplanar) solutions. 
Luigi Ambrosio  Scuola Normale Superiore  7/18/2009  7/25/2009 
Fabio Ancona  Università di Padova  7/23/2009  8/1/2009 
Donald G. Aronson  University of Minnesota  9/1/2002  8/31/2009 
Myoungjean Bae  University of Wisconsin  7/12/2009  7/31/2009 
Santiago Ignacio Betelu  University of North Texas  7/12/2009  7/31/2009 
Stefano Bianchini  International School for Advanced Studies (SISSA/ISAS)  7/22/2009  7/29/2009 
Brian Bies  Washington University  6/28/2009  8/1/2009 
Michael Blaser  Eidgenössische TH Hönggerberg  7/12/2009  8/1/2009 
Alberto Bressan  Pennsylvania State University  7/12/2009  7/31/2009 
Hannah Callender  University of Minnesota  9/1/2007  8/14/2009 
Suncica Canic  University of Houston  7/29/2009  7/31/2009 
GuiQiang G. Chen  Northwestern University  7/12/2009  7/31/2009 
Xianjin Chen  University of Minnesota  9/1/2008  8/31/2010 
Bin Cheng  University of Michigan  7/12/2009  7/31/2009 
Antoine Choffrut  University of Minnesota  7/13/2009  7/31/2009 
Rinaldo Mario Colombo  Università di Brescia  7/12/2009  8/2/2009 
Gianluca Crippa  Università di Parma  7/11/2009  8/1/2009 
Kathryn Dabbs  University of Tennessee  6/28/2009  7/31/2009 
Constantine Dafermos  Brown University  7/12/2009  7/31/2009 
Xue Mei Deng  Northwestern University  7/12/2009  7/31/2009 
Qian Ding  Northwestern University  7/12/2009  7/31/2009 
Liviu Florin Dinu  Romanian Academy of Sciences  7/12/2009  7/27/2009 
Marina Ileana Dinu  Polytechnic University of Bucharest  7/12/2009  7/27/2009 
Milka Nikolaeva Doktorova  Mount Holyoke College  6/28/2009  7/31/2009 
Carlotta Donadello  Northwestern University  7/12/2009  7/31/2009 
Olivier Dubois  University of Minnesota  9/3/2007  8/31/2009 
WolfPatrick Duell  New York University  7/22/2009  7/31/2009 
Volker Wilhelm Elling  University of Michigan  7/12/2009  7/31/2009 
Nadine Even  BayerischeJuliusMaximiliansUniversität Würzburg  7/12/2009  7/31/2009 
Beixiang Fang  Shanghai Jiaotong University  7/12/2009  7/31/2009 
Eduard Feireisl  Czech Academy of Sciences (AVČR)  7/12/2009  7/31/2009 
Mikhail Feldman  University of Wisconsin  7/19/2009  7/25/2009 
Jin Feng  University of Kansas  7/12/2009  7/25/2009 
Daniel Flath  Macalester College  6/29/2009  7/31/2009 
Hermano Frid  Institute of Pure and Applied Mathematics (IMPA)  7/12/2009  7/31/2009 
Frederico C. Furtado  University of Wyoming  7/13/2009  7/24/2009 
Shu Gao  Northwestern University  7/12/2009  7/31/2009 
Mauro Garavello  Università del Piemonte Orientale "Amedeo Avogadro"  7/12/2009  7/31/2009 
James G. Glimm  SUNY  7/26/2009  7/30/2009 
Dhruv Goel  University of Minnesota  6/29/2009  7/31/2009 
G.D. Veerappa Gowda  Tata Institute of Fundamental Research  7/12/2009  8/1/2009 
Graziano Guerra  Università di Milano  Bicocca  7/11/2009  7/31/2009 
Arvind Kumar Gupta  Birla Institute of Technology and Science  7/13/2009  7/31/2009 
Michael Herty  RWTH Aachen  7/16/2009  7/29/2009 
Peter Hinow  University of Minnesota  9/1/2007  8/21/2009 
Luan Thach Hoang  Texas Tech University  7/12/2009  8/1/2009 
David Hoff  Indiana University  7/19/2009  7/24/2009 
Helge Holden  Norwegian University of Science and Technology (NTNU)  7/12/2009  7/26/2009 
Russell J. Holmes  University of Minnesota  7/1/2009  7/1/2009 
Jingwei Hu  University of Wisconsin  7/12/2009  7/17/2009 
Xianpeng Hu  University of Pittsburgh  7/12/2009  7/31/2009 
John K. Hunter  University of California, Davis  7/12/2009  7/30/2009 
Yunkyong Hyon  University of Minnesota  9/1/2008  8/31/2010 
Mark Iwen  University of Minnesota  9/1/2008  8/31/2010 
Juhi Jang  Courant Institute of Mathematical Sciences  7/13/2009  7/31/2009 
Katarina Jegdic  University of HoustonDowntown  7/26/2009  7/31/2009 
Helge Kristian Jenssen  Pennsylvania State University  7/19/2009  7/31/2009 
Joseph W. Jerome  Northwestern University  7/12/2009  7/31/2009 
Srividhya Jeyaraman  University of Minnesota  9/1/2008  8/31/2010 
Lijian Jiang  University of Minnesota  9/1/2008  8/31/2010 
Peng Jiang  University of Pittsburgh  7/12/2009  7/31/2009 
Mathew A. Johnson  Indiana University  7/12/2009  7/31/2009 
Kayyunnapara Thomas Joseph  Tata Institute of Fundamental Research  7/12/2009  8/1/2009 
Kenneth Hvistendahl Karlsen  University of Oslo  7/12/2009  7/29/2009 
Barbara Lee Keyfitz  Ohio State University  7/20/2009  7/31/2009 
Christian F Klingenberg  BayerischeJuliusMaximiliansUniversität Würzburg  7/15/2009  7/30/2009 
Alexander Kurganov  Tulane University  7/12/2009  7/31/2009 
Bongsuk Kwon  Indiana University  7/12/2009  7/31/2009 
Marc Laforest  École Polytechnique de Montréal  7/12/2009  7/20/2009 
ChiunChang Lee  National Taiwan University  8/26/2008  8/15/2009 
Philippe G. LeFloch  Université de Paris VI (Pierre et Marie Curie)  7/11/2009  7/24/2009 
Nicholas Matthew Leger  University of Texas  7/12/2009  7/30/2009 
Gilad Lerman  University of Minnesota  6/29/2009  7/31/2009 
Marta Lewicka  University of Minnesota  7/13/2009  7/31/2009 
Lu Li  University of Minnesota  7/13/2009  7/31/2009 
TianHong Li  Chinese Academy of Sciences  7/23/2009  7/28/2009 
Tong Li  University of Iowa  7/19/2009  7/31/2009 
Yachun Li  Shanghai Jiaotong University  7/12/2009  8/1/2009 
Yongfeng Li  University of Minnesota  9/1/2008  8/31/2010 
TaiChia Lin  National Taiwan University  8/23/2008  7/23/2009 
Chun Liu  University of Minnesota  9/1/2008  8/31/2010 
Hailiang Liu  Iowa State University  7/12/2009  7/15/2009 
TaiPing Liu  Stanford University  7/19/2009  7/31/2009 
Maria Lukacova  Technische Universität HamburgHarburg  7/20/2009  8/1/2009 
Tao Luo  Georgetown University  7/25/2009  7/31/2009 
Pierangelo Marcati  Università di L'Aquila  7/14/2009  7/25/2009 
Francesca Marcellini  Università di Milano  Bicocca  7/11/2009  7/31/2009 
Dan Marchesin  Instituto de Matematica Pura e Aplicada  7/14/2009  7/23/2009 
Vasileios Maroulas  University of Minnesota  9/1/2008  8/31/2010 
Andrea Marson  Università di Padova  7/15/2009  7/25/2009 
Nader Masmoudi  New York University  7/19/2009  7/31/2009 
Richard P. McGehee  University of Minnesota  7/29/2009  7/29/2009 
Amelia Ahlers McNamara  Macalester College  6/28/2009  7/31/2009 
Michael Meaden  Elmhurst College  6/28/2009  7/31/2009 
Francesca Monti  Università di Milano  Bicocca  7/11/2009  7/31/2009 
Sarka Necasova  Czech Academy of Sciences (AVČR)  7/18/2009  7/25/2009 
Toan Nguyen  Indiana University  7/12/2009  7/25/2009 
Truyen V Nguyen  University of Akron  7/12/2009  8/1/2009 
Shinya Nishibata  Tokyo Institute of Technology  7/17/2009  8/1/2009 
Duane Nykamp  University of Minnesota  7/8/2009  7/8/2009 
Reza Pakzad  University of Pittsburgh  7/12/2009  7/31/2009 
Ronghua Pan  Georgia Institute of Technology  7/13/2009  7/31/2009 
Evgeniy Panov  Novgorod State University  7/12/2009  7/26/2009 
Arshad Ahmud Iqbal Peer  University of Mauritius  7/12/2009  8/1/2009 
Mikhail Perepelitsa  Vanderbilt University  7/13/2009  7/24/2009 
Benoit Perthame  Université de Paris VI (Pierre et Marie Curie)  7/18/2009  7/22/2009 
Tomasz Piotr Piasecki  Polish Academy of Sciences  7/12/2009  8/1/2009 
Bojan Popov  Texas A & M University  7/17/2009  7/29/2009 
Roger Robyr  Universität Zürich  7/11/2009  8/1/2009 
Olga Rozanova  Moscow State University  7/12/2009  7/26/2009 
Fadil Santosa  University of Minnesota  7/1/2008  6/30/2010 
Jordan Richard Seering  University of Minnesota  6/28/2009  7/31/2009 
Tsvetanka Sendova  University of Minnesota  9/1/2008  8/31/2010 
Denis Serre  École Normale Supérieure de Lyon  7/18/2009  7/31/2009 
Michael Shearer  North Carolina State University  7/14/2009  7/24/2009 
Wen Shen  Pennsylvania State University  7/27/2009  7/31/2009 
ChiWang Shu  Brown University  7/14/2009  7/18/2009 
Marshall Slemrod  University of Wisconsin  7/12/2009  7/15/2009 
Kyungwoo Song  Kyung Hee University  7/11/2009  7/28/2009 
Laura Valentina Spinolo  Scuola Normale Superiore  7/11/2009  8/1/2009 
Shaowei Su  Northwestern University  7/12/2009  7/31/2009 
Eitan Tadmor  University of Maryland  7/12/2009  7/16/2009 
Allen Tesdall  College of Staten Island, CUNY  7/12/2009  7/31/2009 
Ahmed H. Tewfik  University of Minnesota  7/15/2009  7/15/2009 
Monica Torres  Purdue University  7/12/2009  7/26/2009 
Konstantina Trivisa  University of Maryland  7/12/2009  7/27/2009 
Lev Truskinovsky  École Polytechnique  7/16/2009  8/6/2009 
Erkan Tüzel  University of Minnesota  9/1/2007  8/7/2009 
Athanasios E. Tzavaras  University of Maryland  7/14/2009  7/29/2009 
Alexis Frederic Vasseur  University of Texas  7/26/2009  8/1/2009 
Vaughan R. Voller  University of Minnesota  7/22/2009  7/22/2009 
David H. Wagner  University of Houston  7/12/2009  7/31/2009 
Dehua Wang  University of Pittsburgh  7/12/2009  7/31/2009 
YaGuang Wang  Shanghai Jiaotong University  7/15/2009  7/31/2009 
Ying Wang  Ohio State University  7/11/2009  8/1/2009 
Zhian Wang  University of Minnesota  9/1/2007  8/31/2009 
Michael Westdickenberg  Georgia Institute of Technology  7/19/2009  7/25/2009 
Mark Williams  University of North Carolina  7/13/2009  7/26/2009 
Wei Xiong  University of Minnesota  9/1/2008  8/31/2010 
Meng Xu  Northwestern University  7/12/2009  7/31/2009 
Jue Yan  Iowa State University  7/12/2009  7/15/2009 
Hao Ying  Ohio State University  7/12/2009  7/22/2009 
Robin Young  University of Massachusetts  7/12/2009  7/24/2009 
Matthias Youngs  Indiana University  7/12/2009  7/19/2009 
Cheng Yu  Indiana University  7/12/2009  7/31/2009 
Haijun Yu  Purdue University  7/12/2009  8/1/2009 
ShihHsien Yu  National University of Singapore  7/12/2009  7/26/2009 
Hairong Yuan  East China Normal University  7/12/2009  7/31/2009 
Yanni Zeng  University of Alabama at Birmingham  7/19/2009  8/1/2009 
Yi Zeng  University of Illinois at UrbanaChampaign  6/28/2009  7/31/2009 
Tianyou Zhang  Pennsylvania State University  7/13/2009  7/28/2009 
Yongqian Zhang  Fudan University  7/20/2009  7/31/2009 
Kun Zhao  Georgia Institute of Technology  7/12/2009  7/28/2009 
Yuxi Zheng  Pennsylvania State University  7/20/2009  7/28/2009 
Weigang Zhong  University of Minnesota  9/8/2008  8/31/2010 
Dianwen Zhu  University of California, Davis  7/12/2009  7/31/2009 
Hao Zou  Macalester College  6/28/2009  7/31/2009 
Kevin Zumbrun  Indiana University  7/12/2009  7/22/2009 