Saturday, August 12

MS39
Travelling Waves and Their Stability

10:00 AM-12:00 PM
Koali (Salon 5)

Travelling wave solutions play an important role in the theory of parabolic systems and they arise in numerous applications. Their stability is determined by the location of the spectrum of linearized problems and it is studied only for some particular classes of systems. The minisymposium is devoted to recent developments in this area. The speakers will discuss stability of travelling waves for reaction-diffusion systems in combustion theory and in biology. They will also discuss propagation of waves in a heterogeneous medium where usual travelling waves do not exist.

10:00-10:25 Annihilation and Persistence in Model for Predation

Robert A. Gardner, Organizer

10:30-10:55 Homoclinic Stripe Patterns

Arjen Doelman, Universiteit van Amsterdam, The Netherlands

11:00-11:25 Instabilities and Oscillations in Propagating Combustion Waves

Rodney O. Weber, Geoffry N. Mercer, Harvinder S. Sidhu, and Simon D. Watt, University College, UNSW, Australia

11:30-11:55 Generalized Travelling Waves for Perturbed Monotone Systems

Vitaly Volpert, Organizer