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Kota Ikeda

2009-11-05
15:30:00 - 16:30:00

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

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

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.