MS23 ~ Monday, May 22, 1995 ~ 2:30 PM

Qualitative Analysis of Nonlinear Wave and Fluid Equations

Techniques from dynamical systems theory are being developed to do qualitative analysis of partial differential equations. They have been applied successfully to nonlinear wave equations and the Ginzburg-Landau equation describing Rayleigh-Bernard convection in fluids. They promise to have applications to more general wave equations and equations in combustion theory. The speakers will present an overview of some of these results and discuss likely trends.

Organizer: Bjorn Birnir, University of California, Santa Barbara

Nearly Integrable Problems from Nonlinear Optics
Gregory Forest, Ohio State University, Columbus
Attractors of Nonlinear Wave Equations
Kenneth Nelson, University of California, Santa Barbara
Propagating Front Solutions to a Combustion System of PDE's for Incompressible Fluids
Jack Xin, University of Arizona
A Weak-Turbulence Model for the Ginzburg-Landau Equation
Bjorn Birnir, Organizer