Friday, July 17

MS75
Nonlinear Partial Differential Equations

2:00 PM-4:00 PM
Room: Sidney Smith 2106

Nonlinear partial differential equations is presently one of the most active areas of mathematics, spanning the spectrum from very technical theoretical questions to numerical simulations, employing diverse mathematical methods, and cutting across interdisciplinary boundaries. The goal of this minisymposium is to present recent advances in this area. In particular, special attention will be given to equations arising in condensed matter physics (especially in the theory of phase transitions), mathematical biology, and wave propagation (nonlinear optics, waves in plasmas). The speakers will cover the range of elliptic, parabolic, hyperbolic, and Schrödinger equations, and present results of mathematical importance and physical significance.

2:00 Self-Focusing and Wave Collapse for the Nonlinear Schrödinger Equation

Catherine Sulem, University of Toronto, Canada

2:30 The Stability of Abelian Higgs Vortices

Stephen Gustafson, University of Toronto, Canada

3:00 Asymptotic Stability of Kink Solitary Waves of Nonlinear Wave Equations

Randall Pyke, Courant Institute of Mathematical Sciences, New York University

3:30 On a Multi-Phase Mullins-Sekerka System

Lia Bronsard, McMaster University, Hamilton, Canada

4:00 Moser's Lemma in Hydrodynamics

Boris Khesin, Institute for Advanced Study, Princeton and University of Toronto, Canada