Thursday, July 25
Traveling waves play central roles in reaction--diffusion models of many physical systems. In this minisymposium, specific models from nonlinear optics, water wave theory, and chemistry will be presented. The study of each of these models is motivated by recent experimental and numerical results, and the works presented have a direct bearing on a variety of technologies. Geometric and analytic methods from applied dynamical systems theory form the basis for the analyses showing the existence and stability of the traveling waves.
Existence and Stability of Traveling Waves
The speakers will present analyses of Reaction-Diffusion models for the Fabry--Perot interferometer and double--doped optical fibers, inviscid, incompressible fluids, and autocatalytic chemical reactions.
Organizers: Tasso Kaper, Boston University; and Todd Kapitula, Virginia Polytechnic Institute and State University
- The Generation of Edge Oscillations in the Semiconductor Fabry-Perot Interferometer
- Jonathan E. Rubin, Brown University and Ohio State University
- Stability and Decay Rates for Viscous Scalar Shock Fronts in Two Dimensions
- Judith R. Miller, Simon Fraser University, Canada; and Jonathan Goodman, Courant Institute, New York University
- Bifurcating Bright and Dark Solitary Waves of the Nearly Nonlinear Cubic-Quintic Schrodinger Equation
- Todd Kapitula, Organizer
- Pattern Formation in the 1--D Gray--Scott Model
- Arjen Doelman, University of Utrecht, The Netherlands; Tasso J. Kaper, Organizer; and Paul Zegeling, University of Utrecht, The Netherlands