The interplay between geometry and physics in the material world is a rich source of questions close to experience, amenable to experiments and open to a range of theoretical approaches, from scaling and asymptotics to computation and geometric/topological methods. The breakup of a drop or the coalescence of two, the collapse of a bubble or the birth of one, the crumpling and wrinkling of a sheet of paper or of the continental crust, the tearing of a sheet of plastic or plasma, the pinching of a tube of myelin or that of a magnetic flux tube, are all examples of extreme events that involve the strongly inhomogeneous interactions (in space and time) between length and time scales that are are normally well separated. Almost all of these events can also be observed and quantified experimentally without too much of a fuss.
Each of these examples has a strong geometrical signature associated with a singular or near singular event. Both the pinching of a drop or the internal tearing of a sheet of plastic or plasma involve a change in topology that accompanies a divergent curvature, while the crumpling of paper involves the formation of nearly singular geometrical structures that accompany the focusing of stress and energy. In all these examples, localized low-dimensional geometric structures influence and are influenced by the behavior in the bulk, and their structure and evolution may aptly be termed the study of geometric singularities and singular geometries.
A two week workshop at the IMA will focus on what we know and what we would like to know about these types of singular structures; with the first week focusing on fluid singularities, and the second on elastic singularities. We also hope to have an intense mid-week mini-tutorial on
singularities in geometric field theories: examples from gravitation to condensed matter.
| Schedule |
Week 1: Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday Week 2: | Monday | Tuesday | Wednesday | Thursday | Friday |
|
Monday, July 14
|
| 8:15am-9:00am |
Registration and coffee |
|
EE/CS 3-176 |
| 9:00am-9:15am |
Welcome to the IMA
|
Fadil Santosa (University of Minnesota) |
EE/CS 3-180 |
| 9:15am-9:45am |
Introductory talk
|
L. Mahadevan (Harvard University) |
EE/CS 3-180 |
| 9:50am-10:40am |
Some remarks on vorticity growth in Euler flows
|
Stephen Childress (New York University) |
EE/CS 3-180 |
| 10:40am-11:10am |
Coffee |
|
EE/CS 3-176 |
| 11:10am-12:00pm |
A catalogue of singularities
|
Jens Eggers (University of Bristol) |
EE/CS 3-180 |
| 12:00pm-12:30pm |
Discussion |
|
EE/CS 3-180 |
| 12:30pm-2:00pm |
Lunch |
|
|
| 2:00pm-2:10pm |
Calculation of complex singular solutions to the 3D incompressible Euler equations
|
Michael Siegel (New Jersey Institute of Technology) |
EE/CS 3-180 |
| 2:15pm-2:25pm |
Viscous potential flow analysis of radial fingering in a Hele-Shaw cell
|
Daniel D. Joseph (University of Minnesota) |
EE/CS 3-180 |
| 2:30pm-2:40pm |
Some open questions on similarity solutions for fluid film rupture
|
Thomas Peter Witelski (Duke University) |
EE/CS 3-180 |
| 2:45pm-2:55pm |
Capillary pinch-off of a film on a cylinder
|
John Lister (University of Cambridge) |
EE/CS 3-180 |
| 3:00pm-3:30pm |
Second chances |
|
EE/CS 3-180 |
| 3:45pm-4:00pm |
Group Photo |
|
|
| 4:00pm-6:00pm |
Poster Session and Reception Lind Hall 400
|
|
Tuesday, July 15
|
| 8:30am-9:00am |
Coffee |
|
EE/CS 3-176 |
| 9:00am-9:50am |
Ablative Rayleigh-Taylor instability
|
Paul Clavin (UMR CNRS-Universites d'Aix-Marseille I&II) |
EE/CS 3-180 |
| 9:50am-10:00am |
Discussion |
|
EE/CS 3-180 |
| 10:00am-10:30am |
Break |
|
EE/CS 3-176 |
| 10:30am-11:20am |
Hydraulic jump in a flowing soap film
|
Walter Goldburg (University of Pittsburgh) |
EE/CS 3-180 |
| 11:20am-11:30am |
Discussion |
|
EE/CS 3-180 |
| 11:30am-2:00pm |
Lunch |
|
|
| 2:00pm-2:10pm |
Dynamics and stability of a network of coupled drop
elements: Coarsening by capillarity
|
Henrik Bernhard van Lengerich (Cornell University) |
EE/CS 3-180 |
| 2:15pm-2:25pm |
Blowup dynamics of an unstable thin-film equation
|
Dejan Slepcev (Carnegie Mellon University) |
EE/CS 3-180 |
| 2:30pm-2:40pm |
An open problem concerning breakup of fluid jets
|
Michael Renardy (Virginia Polytechnic Institute and State University) |
EE/CS 3-180 |
| 2:45pm-2:55pm |
The prospects for fission of self-gravitating masses
|
Norman Lebovitz (University of Chicago) |
EE/CS 3-180 |
| 3:00pm-3:30pm |
Second chances |
|
EE/CS 3-180 |
| 6:30pm-8:30pm |
Workshop Dinner at Kikugawa |
|
Kikugawa at Riverplace
43 Main Street SE Minneapolis MN 55414
612-378-3006 |
|
Wednesday, July 16
|
| 8:30am-9:00am |
Coffee |
|
EE/CS 3-176 |
| 9:00am-9:50am |
Lengths and crossing numbers of tightly knotted ropes and bands
|
Robert B. Kusner (University of Massachusetts) |
EE/CS 3-180 |
| 9:50am-10:00am |
Discussion |
|
EE/CS 3-180 |
| 10:00am-10:30am |
Break |
|
EE/CS 3-176 |
| 10:30am-11:20am |
Impact!
|
Sidney Nagel (University of Chicago) |
EE/CS 3-176 |
| 11:20am-11:30am |
Discussion |
|
EE/CS 3-180 |
| 11:30am-2:00pm |
Lunch |
|
|
| 2:00pm-2:10pm |
Turbulent solutions of the stochastic
Navier-Stokes equation
|
Bjorn Birnir (University of California, Santa Barbara) |
EE/CS 3-180 |
| 2:15pm-2:25pm |
Lubrication theory in nearly singular geometries: when
should one stop optimizing a reduced model?
|
Jon Wilkening (University of California, Berkeley) |
EE/CS 3-180 |
| 2:30pm-2:40pm |
Capillary winding
|
José Bico (École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI)) |
|
| 2:45pm-2:55pm |
Dynamics of droplet breakup in a complex fluid
|
John R. Savage (Cornell University) |
EE/CS 3-180 |
| 3:00pm-3:30pm |
Second chances |
|
EE/CS 3-176 |
| 7:00pm-7:10pm |
Scaling properties of singular matrix eigenvectors
|
Leo Kadanoff (University of Chicago) |
EE/CS 3-180 |
| 7:15pm-8:00pm |
Discussion Session |
|
EE/CS 3-180 |
|
Thursday, July 17
|
| 8:30am-9:00am |
Coffee |
|
EE/CS 3-176 |
| 9:00am-9:50am |
A new approach to regularity and singularity questions for a class of
non-linear evolutionary PDEs such as 3-D Navier-Stokes equation
|
Saleh A. Tanveer (Ohio State University) |
EE/CS 3-180 |
| 9:50am-10:00am |
Discussion |
|
EE/CS 3-180 |
| 10:00am-10:30am |
Coffee |
|
EE/CS 3-176 |
| 10:30am-11:20am |
A few viscous jets
|
David Quéré (École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI)) |
EE/CS 3-180 |
| 11:20am-11:30am |
Discussion |
|
EE/CS 3-180 |
| 11:30am-2:00pm |
Lunch |
|
|
| 2:00pm-2:10pm |
Singular jets in free-surface flows
|
Sigurdur Thoroddsen (National University of Singapore) |
EE/CS 3-180 |
| 2:15pm-2:25pm |
High-speed jet formation after solid object impact
|
Stephan Gekle (Universiteit Twente) |
EE/CS 3-180 |
| 2:30pm-2:40pm |
Fragmentation under impact
|
Emmanuel Villermaux (IRPHE - Institut de Recherche sur les Phénoménes Hors Équilibre) |
EE/CS 3-180 |
| 2:45pm-2:55pm |
Chaos in a one-dimensional cardiac model
|
David Schaeffer (Duke University) |
EE/CS 3-180 |
| 3:00pm-3:10pm |
Self similar rupture of thin films with slippage
|
Andreas Münch (University of Nottingham) |
EE/CS 3-180 |
| 3:10pm-3:40pm |
Second Chances |
|
EE/CS 3-180 |
|
Friday, July 18
|
| 8:30am-9:00am |
Coffee |
|
EE/CS 3-176 |
| 9:00am-9:50am |
Remembering and forgetting in a disconnecting air bubble
|
Wendy W. Zhang (University of Chicago) |
EE/CS 3-180 |
| 9:50am-10:00am |
Discussion |
|
EE/CS 3-180 |
| 10:00am-10:30am |
Coffee |
|
EE/CS 3-176 |
| 10:30am-11:20am |
Patterns in dewetting liquid films: Intermediate and late phases
|
Barbara Wagner (Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)) |
EE/CS 3-180 |
| 11:25am-11:55am |
Second Chances/End of Friday session |
|
EE/CS 3-180 |
|
Saturday, July 19
|
| No scheduled activity |
|
Sunday, July 20
|
| No scheduled activity |
|
Monday, July 21
|
| 8:30am-9:00am |
Coffee |
|
EE/CS 3-176 |
| 9:00am-9:50am |
The zero temperature limit of interacting corpora
|
Peter Constantin (University of Chicago) |
EE/CS 3-180 |
| 9:50am-10:00am |
Discussion |
|
EE/CS 3-180 |
| 10:00am-10:30am |
Break |
|
EE/CS 3-176 |
| 10:30am-11:20am |
Resolving dynamic singularities: from vortices to
contact lines
|
Leonid Pismen (Technion-Israel Institute of Technology) |
EE/CS 3-180 |
| 11:20am-11:30am |
Discussion |
|
EE/CS 3-180 |
| 11:30am-2:00pm |
Lunch |
|
|
| 2:00pm-2:10pm |
On similarities of two Cahn-Hilliard type equations
|
Maciek Dominik Korzec (Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)) |
EE/CS 3-180 |
| 2:15pm-2:25pm |
Singularities in Calabi-Yau varieties
|
Mee Seong Im (University of Illinois at Urbana-Champaign) |
EE/CS 3-180 |
| 2:30pm-2:40pm |
Elastic theory of non-Euclidean plates
|
Efi Efrati (Hebrew University) |
EE/CS 3-180 |
| 2:45pm-3:35pm |
What's new for microstructure
|
David Kinderlehrer (Carnegie Mellon University) |
EE/CS 3-180 |
| 3:35pm-4:05pm |
Second chances |
|
EE/CS 3-180 |
| 4:30pm-6:30pm |
Poster Session and Reception Lind Hall 400
|
|
Tuesday, July 22
|
| 8:30am-9:00am |
Coffee |
|
EE/CS 3-176 |
| 9:00am-9:50am |
Singular minimisers in nonlinear elasticity and modelling fracture
|
Jey Sivaloganathan (University of Bath) |
EE/CS 3-176 |
| 9:50am-10:00am |
Discussion |
|
EE/CS 3-180 |
| 10:00am-10:30am |
Coffee |
|
EE/CS 3-176 |
| 10:30am-11:20am |
Finite-time singularities in surface-diffusion
instabilities are cured by plasticity
|
Itamar Procaccia (Weizmann Institute of Science) |
EE/CS 3-180 |
| 11:20am-11:30am |
Discussion |
|
EE/CS 3-180 |
| 11:30am-12:30pm |
Lunch |
|
|
| 12:30pm-2:00pm |
Video conference with the parallel
conference in Cargese on the geometry and mechanics of growth in
biological systems
|
Christophe Josserand (Université de Paris VI (Pierre et Marie Curie)) |
EE/CS 3-180 |
| 2:00pm-2:10pm |
Singularities associated with swelling of hyperelastic solids
|
Thomas J. Pence (Michigan State University) |
EE/CS 3-180 |
| 2:15pm-2:25pm |
Some remarks on the symmetry of singular minimizers in elasticity
|
Scott J. Spector (Southern Illinois University) |
EE/CS 3-180 |
| 2:30pm-2:40pm |
Investigating dislocation dynamics in degenerate crystals of dimer colloids
|
Itai Cohen (Cornell University) |
|
| 2:45pm-2:55pm |
Point-instabilities, point-coercivity (meta-stability), and
point-calculus
|
Evan Hohlfeld (University of California, Berkeley) |
EE/CS 3-180 |
| 3:00pm-3:30pm |
Second chances |
|
EE/CS 3-180 |
| 3:30pm-3:45pm |
Group Photo |
|
|
| 6:30pm-8:30pm |
Workshop Dinner at Pagoda |
|
Pagoda Restaurant
1417 4th St. SE
Minneapolis, MN
612-378-4710 |
|
Wednesday, July 23
|
| 8:30am-9:00am |
Coffee |
|
EE/CS 3-176 |
| 9:00am-9:50am |
Ultrasound as a probe of plasticity?
The interaction between elastic waves and dislocations
|
Fernando Lund (University of Chile) |
EE/CS 3-180 |
| 9:50am-10:00am |
Discussion |
|
EE/CS 3-180 |
| 10:00am-10:30am |
Coffee |
|
EE/CS 3-176 |
| 10:30am-11:20am |
The geometry of topological defects
|
Randall D. Kamien (University of Pennsylvania) |
EE/CS 3-180 |
| 11:20am-11:30am |
Discussion |
|
EE/CS 3-180 |
| 11:30am-2:00pm |
Lunch |
|
|
| 2:00pm-2:30pm |
Visit to Daniel D. Joseph Lab
Meet D. Joseph infront of EE/CS 3-180 at 1:50pm to walk to the lab. |
Daniel D. Joseph (University of Minnesota) |
130 Akerman Hall |
| 2:45pm-3:00pm |
Static problems of the chiral smectic and bent core
liquid crystals focusing on the role of the spontaneous polarization
|
Jinhae Park (Purdue University) |
EE/CS 3-180 |
| 3:05pm-3:15pm |
Wrinkling of vesicles during transient dynamics in elongational flow
|
Konstantin Turitsyn (University of Chicago) |
EE/CS 3-180 |
| 3:15pm-3:45pm |
Second chances |
|
EE/CS 3-180 |
| 7:00pm-8:00pm |
Discussion Session |
|
EE/CS 3-180 |
|
Thursday, July 24
|
| 8:30am-9:00am |
Coffee |
|
EE/CS 3-176 |
| 9:00am-9:50am |
Topological singularities in optical waves
|
Mark Dennis (University of Bristol) |
EE/CS 3-180 |
| 9:50am-10:00am |
Discussion |
|
EE/CS 3-180 |
| 10:00am-10:30am |
Coffee |
|
EE/CS 3-176 |
| 10:30am-11:20am |
Boundary layers and defects in elastic systems
|
Maria-Carme T. Calderer (University of Minnesota) |
EE/CS 3-180 |
| 11:20am-11:30am |
Discussion |
|
EE/CS 3-180 |
| 11:30am-2:00pm |
Lunch |
|
|
| 2:00pm-2:10pm |
Experimental investigations of packing, folding, and crumpling
in two and three dimensions
|
Arshad Kudrolli (Clark University) |
EE/CS 3-180 |
| 2:15pm-2:25pm |
Buckled viruses, crumpled shells and folded pollen grains
|
David R. Nelson (Harvard University) |
EE/CS 3-180 |
| 2:30pm-2:40pm |
Towards a statistical physics of crumpled elastic structures?
|
Laurent Boué (École Normale Supérieure) |
EE/CS 3-180 |
| 2:45pm-2:55pm |
Weak turbulence of a vibrating elastic thin plate
|
Sergio Rica (Centre National de la Recherche Scientifique (CNRS)) |
EE/CS 3-180 |
| 3:00pm-3:10pm |
Singular behaviors in drop impacts
|
Christophe Josserand (Université de Paris VI (Pierre et Marie Curie)) |
EE/CS 3-180 |
| 3:15pm-3:45pm |
Second chances |
|
EE/CS 3-180 |
| 3:45pm-4:15pm |
Workshop summary
|
Thomas Witten (University of Chicago) |
EE/CS 3-180 |
|
Friday, July 25
|
| 8:30am-9:00am |
Coffee |
|
Lind Hall 400 |
| 9:00am-10:30am |
Discussion/conclusion |
|
Lind Hall 400 |
| Name | Department | Affiliation |
|---|
| Hillel Aharoni | Institute of Physics | Hebrew University |
| José Bico | PMMH | École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI) |
| Bjorn Birnir | Department of Mathematics | University of California, Santa Barbara |
| Laurent Boué | Department of Laboratoire de Physique Statistique | École Normale Supérieure |
| Justin C. Burton | Department of Physics and Astronomy | University of California, Irvine |
| Maria-Carme T. Calderer | School of Mathematics | University of Minnesota |
| Stephen Childress | Courant Institute of Mathematical Sciences | New York University |
| Christophe Clanet | | École Polytechnique |
| Paul Clavin | Institut de Recherche sur les Phénomènes Hors Équilibre | UMR CNRS-Universites d'Aix-Marseille I&II |
| Itai Cohen | Department of Physics | Cornell University |
| Peter Constantin | Department of Mathematics | University of Chicago |
| Robert Deegan | Department of Physics | University of Michigan |
| Mark Dennis | Physics Department | University of Bristol |
| Efi Efrati | Institute of Physics | Hebrew University |
| Jens Eggers | School of Mathematics | University of Bristol |
| Marco Antonio Fontelos | Departamento de Matemáticas | Consejo Superior de Investigaciones Científicas (CSIC) |
| Gilles Andre Francfort | Institut Galilee | Université de Paris XIII (Paris-Nord) |
| Stephan Gekle | Physics of Fluids Department | Universiteit Twente |
| Walter Goldburg | Department of Physics and Astronomy | University of Pittsburgh |
| Robert Gulliver | School of Mathematics | University of Minnesota |
| Evan Hohlfeld | Department of Chemistry | University of California, Berkeley |
| Anette (Peko) Hosoi | Department of Mechanical Engineering | Massachusetts Institute of Technology |
| Mee Seong Im | Department of Mathematics | University of Illinois at Urbana-Champaign |
| Richard D. James | Department of Aerospace Engineering and Mechanics | University of Minnesota |
| Sookyung Joo | Department of Applied Mathematics | University of California, Santa Barbara |
| Daniel D. Joseph | Department of Aerospace Engineering and Mechanics | University of Minnesota |
| Christophe Josserand | Institut Jean Le Rond D'Alembert | Université de Paris VI (Pierre et Marie Curie) |
| Leo Kadanoff | James Franck Institute | University of Chicago |
| Randall D. Kamien | Department of Physics and Astronomy | University of Pennsylvania |
| Lami Kim | Department of Mathematical Sciences | Seoul National University |
| David Kinderlehrer | Mathematical Sciences Department | Carnegie Mellon University |
| Maciek Dominik Korzec | | Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) |
| Arshad Kudrolli | Physics Department | Clark University |
| Satish Kumar | Department of Chemical Engineering and Materials Science | University of Minnesota |
| Robert B. Kusner | Department of Mathematics and Statistics | University of Massachusetts |
| Norman Lebovitz | Department of Mathematics | University of Chicago |
| Eun Joo Lee | Department of Mathematical Sciences | Seoul National University |
| Chun-Chi Lin | Department of Mathematics | National Taiwan Normal University |
| John Lister | Department of Applied Mathematics and Theoretical Physics | University of Cambridge |
| Yang Liu | Department of Mathematics | University of Georgia |
| Kaspar Andreas Loeffel | Department of Mechanical Engineering | Massachusetts Institute of Technology |
| Fernando Lund | Physics Department | University of Chile |
| L. Mahadevan | Division of Engineering and Applied Sciences | Harvard University |
| Michal Mlejnek | Department of Modeling and Simulation | Corning Incorporated |
| Carl Modes | Department of Physics and Astronomy | University of Pennsylvania |
| David Morrissey | Mathematics and Physics Department | University of Minnesota |
| Andreas Münch | School of Mathematical Sciences | University of Nottingham |
| Sidney Nagel | Department of Physics | University of Chicago |
| David R. Nelson | Department of Physics | Harvard University |
| Jinhae Park | Department of Mathematics | Purdue University |
| Thomas J. Pence | Department of Mechanical Engineering | Michigan State University |
| Leonid Pismen | Department of Chemicial Engineering | Technion-Israel Institute of Technology |
| Trevor Potter | | University of California, Berkeley |
| Itamar Procaccia | Department of Chemical Physics | Weizmann Institute of Science |
| David Quéré | Physique et Mécanique des Milieux Hétérogènes | École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI) |
| Eric J. Rawdon | Department of Mathematics | University of St. Thomas |
| Michael Renardy | Department of Mathematics | Virginia Polytechnic Institute and State University |
| Alejandro Ribeiro | Department of Electrical and Computer Engineering | University of Minnesota |
| Sergio Rica | Laboratoire de Physique Statistique | Centre National de la Recherche Scientifique (CNRS) |
| Leif Gibbens Ristroph | Department of Physics | Cornell University |
| Fadil Santosa | Institute for Mathematics and its Applications | University of Minnesota |
| John R. Savage | Department of Physics | Cornell University |
| David Schaeffer | Department of Mathematics | Duke University |
| Laura Elizabeth Schmidt | Department of Physics | University of Chicago |
| Robert Ditlow Schroll | Center for Integrative Science | University of Chicago |
| George R Sell | School of Mathematics | University of Minnesota |
| Shaun Sellers | Department of Mechanical and Aerospace Engineering | Washington University |
| Chehrzad Shakiban | Institute of Mathematics and its Application | University of Minnesota |
| Michael Shearer | Department of Mathematics | North Carolina State University |
| Michael Siegel | Department of Mathematical Sciences | New Jersey Institute of Technology |
| Jey Sivaloganathan | Department of Mathematical Sciences | University of Bath |
| Dejan Slepcev | Department of Mathematical Sciences | Carnegie Mellon University |
| Scott J. Spector | Department of Mathematics | Southern Illinois University |
| Daniel Spirn | School of Mathematics | University of Minnesota |
| Paul H. Steen | Department of Chemicial Engineering | Cornell University |
| Peter Taborek | Department of Physics and Astronomy | University of California, Irvine |
| Saleh A. Tanveer | Department of Mathematics | Ohio State University |
| Sigurdur Thoroddsen | Department of Mechanical Engineering | National University of Singapore |
| Konstantin Turitsyn | James Franck Institute | University of Chicago |
| Henrik Bernhard van Lengerich | School of Chemical and Biomolecular Engineering | Cornell University |
| Emmanuel Villermaux | | IRPHE - Institut de Recherche sur les Phénoménes Hors Équilibre |
| Vincenzo Vitelli | Department of Physics & Astronomy | University of Pennsylvania |
| Barbara Wagner | Thermodynamic Modeling and Analysis of Phase Transitions | Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) |
| Jon Wilkening | Mathematics Department | University of California, Berkeley |
| Thomas Peter Witelski | Department of Mathematics | Duke University |
| Thomas Witten | James Franck Institute | University of Chicago |
| Giovanni Zanzotto | DMMMSA | Università di Padova |
| Wendy W. Zhang | James Franck Institute | University of Chicago |