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Organizers:
Fanghua Lin
Courant Institute of Mathematical Sciences
New York University
linf@courant.nyu.edu
http://www.math.nyu.edu/faculty/linf/
Jacob Rubinstein
Department of Mathematics
Indiana University
jrubinst@indiana.edu
http://www.math.indiana.edu/people/profile.phtml?id=jrubinst
Peter J. Sternberg
Department of Mathematics
Indiana University
sternber@indiana.edu
http://www.math.indiana.edu/people/profile.phtml?id=sternber
Description:
The aim of this workshop is to bring together mathematicians and physicists conducting research on models for superconductors, liquid crystals, micromagnetics, certain optical systems and thin films. The focus here will be on our ability to capture through these models the most interesting singular structures arising in these different contexts. Such structures include GinzburgLandau vortices, Bloch and Neel walls in micromagnetics, phase transition behavior in liquid crystals, optical singularities, folding patterns in thin film blisterings, etc.
Through the workshop, we hope to characterize the similarities and distinctions between these different structures and to compare the analytical tools available for the study of the different models. Emphasis will be placed on identifying physically interesting and mathematically tractable open problems in these areas.




MONDAY,
OCTOBER 25 All talks are in Lecture Hall EE/CS 3180 unless otherwise noted. 


8:30  Coffee and Registration  Reception Room EE/CS 3176 

9:15  Douglas N. Arnold and Organizers  Welcome and Introduction  
9:30  Stan Alama McMaster University 
Vortices and Pinning Effects for the GinzburgLandau Model in Multiply Connected Domains Slides: pdf 

10:30  Discussion and coffee  Reception Room EE/CS 3176  
11:00  Andre Geim University of Manchester 
SubAtomic Movements of Domain Walls in CrystalLattice Potential Slides: pdf 

12:00  

1:30  Jack Xin University of Texas  Austin 
The (2+1) sineGordon Equation and Dynamics of Localized Pulses Paper: pdf 

2:30  

3:00  Coffee, tea, and further discussion  Lind Hall 400  
4:00  IMA
Tea and more (with POSTER SESSION)


TUESDAY,
OCTOBER 26 All talks are in Lecture Hall EE/CS 3180 unless otherwise noted. 

9:00  Coffee  Reception Room EE/CS 3176  
9:30  Peter PalffyMuhoray Kent State University 
Photonic Band Gap Aspects of Liquid Crystals  
10:30  Discussion and coffee  Reception Room EE/CS 3176  
11:00  Rustum Choksi Simon Fraser University 
Phase Separation in Block Copolymer Systems: Paradigms for Multiscale Phase Separation Slides: pdf 

12:00  

1:30  Alexander A. Nepomnyashchy
Technion  Israel Institute of Technology 
Feedback Control of Singularities in Models of Directional Solidification  
2:40  Mark J. Ablowitz University of Colorado 
Wave Collapse in Nonlocal Nonlinear SchrÃ¶dinger Equations  
4:00  Coffee, tea, and further discussion  Lind Hall 400  
WEDNESDAY,
OCTOBER 27 All talks are in Lecture Hall EE/CS 3180 unless otherwise noted. 

9:00  Coffee  Reception Room EE/CS 3176  
9:30  Robert V. Kohn Courant Institute 

10:30  Discussion and coffee  Reception Room EE/CS 3176  
11:00  Francois Peeters Universiteit Antwerpen 

12:00  

1:30  Boaz Ilan University of Colorado at Boulder 
Singularity Formation in Nonlinear Schrodinger Equations with FourthOrder Dispersion Slides: pdf 

2:40  Xingbin Pan East China Normal University 
Nucleation of Smectics  
4:00  Coffee, tea, and further discussion  Lind Hall 400  
THURSDAY,
OCTOBER 28 All talks are in Lecture Hall EE/CS 3180 unless otherwise noted. 

9:00  Coffee  Reception Room EE/CS 3176  
9:30  Dmitry Pelinovsky McMaster University 
Discrete Solitons and Vortices in Nonlinear SchrÃ¶dinger Lattices 

10:30  Discussion and coffee  Reception Room EE/CS 3176  
11:00  Sylvia Serfaty
New York University 
VortexDynamics in the GinzburgLandau HeatFlow  
12:00  

1:30  Yves Pomeau
University of Arizona 
Finite Time Singularities of Solutions of the Euler Fluid Equations in 3D  
2:40  Fabrice Bethuel ENPCCERMA 
Slow Motion Collisions and Phase Vortex Interaction in the TwoDimensional Parabolic GinzburgLandau Dynamics  
4:00  Coffee, tea, and further discussion  Lind Hall 400  
6:00  Dinner  Caspian Bistro  
FRIDAY,
OCTOBER 29 All talks are in Lecture Hall EE/CS 3180 unless otherwise noted. 

9:00  Coffee  Reception Room EE/CS 3176  
9:30  Alan Dorsey University of Florida 
Electronic "Liquid Crystals"  
10:30  Discussion and coffee  Reception Room EE/CS 3176  
11:00  Daniel Phillips
Purdue University 
Existence of Classical Solutions of the TimeDependent GinzburgLandau Equations for a Bounded Superconducting Domain in a Vacuum  
12:00  

1:30  Jacob Rubinstein Indiana University 
The Least Action Principle for Waves  
2:30  Organizers  Closing remarks 
Name  Department  Affiliation 

Mark J. Ablowitz  Department of Applied Mathematics  University of Colorado  Boulder 
Stan Alama  Department of Mathematics and Statistics  McMaster University 
Suman Anand  Polymeric & Soft Material Division  National Physical Laboratory 
Douglas N. Arnold  Institute for Mathematics and its Applications  University of Minnesota 
Donald G. Aronson  Institute for Mathematics and its Applications  University of Minnesota 
Gerard Awanou  Institute for Mathematics and its Applications  University of Minnesota 
Soeren Bartels  Department of Mathematics  University of Maryland 
Jorge Berger  Department of Physics  Technion  Israel Institute of Technology 
Leonid Berlyand  Department of Mathematics  Pennsylvania State University 
Keith Berrier  Rice University  
Fabrice Bethuel  Laboratoire JacquesLouis Lions  Université Pierre et Marie Curie 
Lia Bronsard  Department of Mathematics & Statistics  McMaster University 
MariaCarme Calderer  School of Mathematics  University of Minnesota 
Paolo Cermelli  Dipartimento di Matematica  CNRUniversita di Torino 
Qianyong Chen  Institute for Mathematics and its Applications  University of Minnesota 
Rustum Choksi  Department of Mathematics  Simon Fraser University 
L. Pamela Cook  Department of Mathematical Science  University of Delaware 
Brian DiDonna  Institute for Mathematics and its Applications  University of Minnesota 
Masao Doi  Department of Applied Physics  University of Tokyo 
Alan Dorsey  Department of Physics  University of Florida 
Xiaobing Feng  Department of Mathematics  University of Tennessee 
Tim Garoni  Institute for Mathematics and its Applications  University of Minnesota 
Andre Geim  Department of Physics and Astronomy  University of Manchester 
Tiziana Giorgi  Department of Mathematical Sciences  New Mexico State University 
Matthias Gobbert  Department of Mathematics and Statistics  University of Maryland  Baltimore County 
Dmitry Golovaty  Department of Theoretical & Applied Mathematics  University of Akron 
Changfeng Gui  Department of Mathematics, U9  University of Connecticut 
Robert Gulliver  School of Mathematics  University of Minnesota 
Boaz Ilan  University of Colorado  Boulder  
Michel E. Jabbour  Department of Mathematics  University of Kentucky 
Hala Jadallah  Purdue University  
Richard D. James  Aerospace Engineering and Mechanics  University of Minnesota 
Sookyung Joo  Institute for Mathematics and its Applications  University of Minnesota 
Chiu Yen Kao  Institute for Mathematics and its Applications  University of Minnesota 
YunHui Kim  Department of Mathematics  Indiana University 
Yueh Joy Ko  Department of Mathematics  Brown University 
Robert V. Kohn  Courant Institute of Mathematical Sciences  New York University 
Richard Kollar  Institute of Mathematics and its Applications  University of Minnesota 
Matthias Kurzke  Institute for Mathematics and its Applications  University of Minnesota 
Christopher J. Larsen  Department of Mathematical Sciences  Worcester Polytechnic Institute 
Frederic Legoll  Institute for Mathematics and its Applications  University of Minnesota 
Debra Lewis  Institute for Mathematics and its Applications  University of Minnesota 
Bo Li  Mathematics  University of California  San Diego 
Xiantao Li  Institute for Mathematics and its Applications  University of Minnesota 
Fanghua Lin  Department of Mathematics  New York University 
Robert P. Lipton  Department of Mathematics  Louisiana State University 
Chun Liu  Department of Mathematics  Pennsylvania State University 
Zuhan Liu  Xuzhou Normal University  
John Lowengrub  Department of Mathematics  University of California  Irvine 
Mitchell Luskin  School of Mathematics  University of Minnesota 
Qingfeng Ma  Department of Mathematics  Indiana University 
Christof Melcher  Institut fuer Mathematik  HumboldtUniversitaet zu Berlin 
Govind Menon  University of Wisconsin  
Jose Alberto Montero  Department of Mathematics and Statistics  McMaster University 
Alexander Nepomnyashchy  Department of Mathematics  Technion  Israel Institute of Technology 
Daniel Onofrei  Department of Mathematics  Worcester Polytechnic Institute 
Mohammad Reza Pakzad  Department of Mathematics  University of British Columbia 
Peter PalffyMuhoray  Liquid Crystal Institute  Kent State University 
Xingbin Pan  Department of Mathematics  East China Normal University 
Jinhae Park  School of Mathematics  University of Minnesota 
Francois M. Peeters  Department of Physics  Universiteit Antwerpen 
Dmitry Pelinovsky  Department of Mathematics  McMaster University 
Peter Philip  Institute for Mathematics and its Application  University of Minnesota 
Daniel Phillips  Department of Mathematics  Purdue University 
Petr Plechac  Mathematics Institute  University of Warwick 
Yves Pomeau  Department of Mathematics  University of Arizona 
Lea Popovic  Institute for Mathematics and its Applications  University of Minnesota 
Ivano Primi  Department of Mathematics  University of Rome "La Sapienza" 
Xiaofeng Ren  Department of Mathematics and Statistics  Utah State University 
Jacob Rubinstein  Department of Mathematics  Indiana University 
Rolf Ryham  Department of Mathematics  Pennsylvania State University 
Arnd Scheel  Institute for Mathematics and its Applications  University of Minnesota 
George R Sell  School of Math  University of Minnesota 
Sylvia Serfaty  Courant Institute of Mathematical Sciences  New York University 
TienTsan Shieh  Department of Mathematics  Indiana University 
Valeriy Slastikov  Department of Mathematical Sciences  Cargenie Mellon University 
Daniel Spirn  University of Minnesota  
Peter J. Sternberg  Department of Mathematics  Indiana University 
Pengtao Sun  Department of Mathematics  Simon Fraser University 
Vladimir Sverak  Department of Mathematics  University of Minnesota 
Peter Takac  Fachbereich Mathematik  Universitaet Rostock 
Michael Vogelius  Department of Mathematics  Rutgers 
Darko Volkov  Department of Mathematical Sciences  Worcester Polytechnic Institute 
Changyou Wang  Department of Mathematics  University of Kentucky 
ZhiQiang Wang  Department of Mathematics & Statistics  Utah State University 
Stephen J. Watson  ESAM  Northwestern University 
Jack Xin  Department of Mathematics  University of Texas  Austin 
Baisheng Yan  Department of Mathematics  Michigan State University 
Emmanuel Yomba  Faculty of Sciences  University of Ngaoundéré 
Wen Zhang  Department of Mathematics and Statistics  Oakland University 