Taida Institute of Mathematical Sciences(TIMS)

Instability of multi-spots in general shadow systems for reaction-diffusion equations

Abstract
Various spot pattern can be developed in shadow systems, which were introduced by Nishiura. More precisely, there are stationary solutions with a single spot and multi-spots. However any multi-spots are expected to be unstable in a wide class of shadow systems. Our aim in this talk is to rigorously prove the instability of multi-spots in a general shadow system.

Kota Ikeda
Meiji University

2009-11-05
15:30- 16:30
New Mathmatics Building 308