10:00 AM-12:00 PM
Room: Maybird
We focus on recent developments in the analysis and computation of bistable differential-difference equations, including reaction-diffusion and Cahn-Hilliard like equations. The problem areas include integrodifferential models for both spatially discrete and spatially continuous systems, a Fredholm theory for equations with backward and forward delays to analyze the structure of traveling wave solutions and that forms the basis for a numerical technique for the computation of traveling waves, and analysis and computational techniques for equilibrium solutions of spatially discrete Cahn-Hilliard equations. An important issue to be addressed is the relative impact of both spatially discrete and continuous terms on the dynamics.
Erik S. Van Vleck
Colorado School of Mines
MMD, 2/9/99
LMH, 1/8/99; tjf, 2/2/99