Saturday, August 12

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.

Organizer: Vitaly Volpert
Université Lyon 1, France
Robert A. Gardner
University of Massachusetts, Amherst, USA
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

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