Workshop on Calculus of Variations: Geometric Problems, Superconductivity, and Material Microstructures
Description
Calculus of Varations is the traditional meeting point of geometry with physics. Several of the most exciting avenues of research today continue this tradition: geometrical ideas are used to understand basic physical phenomena; physical insights motivate fundamental advances in differential geometry; nonlinear partial differential equations pervade both fields. This workshop celebrates and exposes the recent fruits of this interplay, presenting a variety of approaches to variational problems and differential equations arising in physics and geometry. Topics are expected to include: pattern formation in fluids and micromagnetics, geometric problems, morphologies of co-polymers, vortices in superconductors, superfluids, and magnetic materials. In addition to invited lectures, time will be set aside for informal discussions and presentations by young researchers.
The conference takes place as part of the 2003-04 Theme Year in Partial Differential Equations hosted by the Fields Institute for Mathematical Sciences in Toronto, Canada.
Invited Participants:
Amandine Aftalion (Paris-VI)
Giovanni Alberti (Pisa)
Patricia Baumann (Purdue)
Fabrice Bethuel (Paris-VI)
Yann Brenier (Nice)
Camillo de Lellis (MPI Leipzig)
Georg Dolzmann (Maryland)
Gero Friesecke (Warwick)
Nassif Ghoussoub (UBC)
Yuri Grabovsky (Temple)
Stephen Gustafson (UBC)
David Kinderlehrer (Carnegie-Mellon)
Michal Kowalczyk (Kent State)
Felix Otto (Bonn)
Etienne Sandier (Paris-12)
Sylvia Serfaty (Courant Institute)
Itai Shafrir (Technion)
Didier Smets (Paris-VI)
Daniel Spirn (Brown)
Peter Sternberg (Indiana)
Gabriella Tarantello (Roma-Tor Vergata)
Schedule
| 08:00 to 09:15 |
Registration and Continental Breakfast
|
| 09:15 to 10:00 |
Yann Brenier, Ecole Polytechnique |
| 10:05 to 10:50 |
Giovanni Alberti, Scuola Politecnica - University of Genoa |
| 10:50 to 11:20 |
Morning Coffee
|
| 11:20 to 12:05 |
Yuri Grabovsky, Temple University |
| 12:05 to 12:30 |
H. Jiang (New York) |
| 12:30 to 14:30 |
Lunch Break
|
| 14:30 to 15:15 |
Patricia Bauman, Purdue University |
| 15:20 to 16:05 |
Peter Sternberg, Indiana University |
| 16:05 to 16:30 |
Afternoon Tea
|
| 16:30 to 16:55 |
T. Giorgi (New Mexico State) |
| 16:55 to 17:20 |
Stable vortex solutions to the Ginzburg Landau Energy
J. A. Montero (McMaster) |
| 17:20 to 17:45 |
X. Kang (Toronto) |
| 17:45 to 19:30 |
Reception
|
| 09:00 to 09:15 |
Continental Breakfast
|
| 09:15 to 10:00 |
Felix Otto, Max Planck Institute for Mathematics and Max-Planck Institute for Mathematics in the Natural Sciences at Leipzig |
| 10:05 to 10:50 |
Nonlinear Versions of the BV Structure Theorem and of Vol'pert Chain
Camillo De Lellis, Universität Zurich |
| 10:50 to 11:20 |
Morning Coffee
|
| 11:20 to 12:05 |
Etienne Sandier, Université Paris-Est Créteil and upec |
| 12:05 to 12:30 |
N. Ahmad (Toronto) |
| 12:30 to 14:30 |
Lunch Break
|
| 14:30 to 15:15 |
Didier Smets, Sorbonne Université |
| 15:20 to 16:05 |
Amandine Aftalion, University of Paris |
| 16:05 to 16:30 |
Afternoon Tea
|
| 16:30 to 16:55 |
Rods with Microstructure as a Model for Double-Stranded Rods
M. Moakher (National Engineering School at Tunis) |
| 18:30 |
Banquet at Goldfish Restaurant
|
| 09:00 to 09:15 |
Continental Breakfast
|
| 09:15 to 10:00 |
A Variational Principle for Dissipative Evolution Equations
Nassif Ghoussoub, University of British Columbia |
| 10:05 to 10:50 |
G. Tarantello (Roma-Tor Vergata) |
| 10:50 to 11:20 |
Morning Coffee
|
| 11:20 to 12:05 |
David Kinderlehrer, Carnegie Mellon University |
| 12:05 to 12:30 |
Eliminating Mixed Asymptotics in Obstacle Type Free Boundary Problems
I. Blank (Rutgers) |
| 09:00 to 09:15 |
Continental Breakfast
|
| 09:15 to 10:00 |
Sylvia Serfaty, New York University and Université Pierre et Marie Curie Paris 6 |
| 10:05 to 10:50 |
Itai Shafrir, Technion - Israel Institute of Technology |
| 10:50 to 11:20 |
Morning Coffee
|
| 11:20 to 12:05 |
No Title Specified
Michal Kowalczyk |
| 12:05 to 12:30 |
G. Menon (Wisconsin) |
| 12:30 to 14:30 |
Lunch Break
|
| 14:30 to 15:15 |
Fabrice Bethuel |
| 15:20 to 16:05 |
Daniel Spirn, University of Minnesota |
| 16:05 to 16:30 |
Afternoon Tea
|
| 16:30 to 16:55 |
F. Ting (Toronto) |
| 16:55 to 17:20 |
C. Lin (National Cheng Kung) |
| 17:20 to 17:45 |
Global Injectivity and Partial Regularity of Axisymmetric Minimizers in Nonlinear Elasticity
L. Novozhilova (MSU) |
| 17:45 to 18:10 |
No Title Specified
H. Jadallah (Purdue) |
| 09:00 to 09:15 |
Continental Breakfast
|
| 09:15 to 10:00 |
Stephen Gustafson, University of British Columbia |
| 10:05 to 10:50 |
Georg Dolzmann, University of Maryland |
| 10:50 to 11:20 |
Morning Coffee
|
| 11:20 to 11:45 |
Variational Principles for Non-potential Problems
G. Auchmuty (Houston) |
| 11:50 to 12:35 |
