Taxa de atração para equações de reação-difusão com difusão grande localizada

Abstract

In this work we study the nonlinear asymptotical dynamics of a semilinear reactiondiffusion equation of parabolic type, when the diffusion coefficient becomes very large in a subregion Ω0 which is interior to the physical domain Ω. We obtain, under suitable assumptions, that the family of attractors behave continuously with respect to a rate of attraction.