Monday, May 12

4:30 PM-6:10 PM
Benjamin West B Room

MS8 Variational Methods (Part I of II)

In recent years, there has been remarkable development of variational techniques motivated by the study of material stability and instability. Traditional models are often inadequate to provide the appropriate setting for the study and even the formulation of these issues.

In this minisymposium, the speakers discuss current progress on questions related to phase transformations, optimal shape design, thin structures (membranes, films, strings), the development of oscillations and concentrations in elasto-plastic materials, pattern recognition, and magnetization.

Organizers: David Kinderlehrer and Irene M. Fonseca
Carnegie Mellon University

4:30-4:50 Elastic Phase Transitions - a New Model
James Greenberg, Carnegie Mellon University
4:55-5:15 Existence of Minimizers for Non-Quasiconvex Functionals Arising in Optimal Shape Design
Grégoire Allaire, Commissariata l'Energie Atomique, France; and Gilles Francfort, Université Paris-Nord, France
5:20-5:40 Branching of Magnetic Domains in a Uniaxial Ferromagnet
Rustum Choksi and Robert V. Kohn, Courant Institute of Mathematical Sciences, New York University
5:45-6:05 Existence of Optimal Maps for the Multidimensional Monge Problem
Wilfrid Gangbo and Andrzej Swiech, Georgia Institute of Technology
6:10-6:30 Lubrication Approximation with Prescribed Non-Zero Contact Angle
Felix Otto, Courant Institute of Mathematical Sciences, New York University

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MMD, 5/1/97