Global Existence and Global Attractors of Cross Diffusion Systems on Planar Domains

2016/05/17 by Le, Dung
#35B65 #35J70 #42B37 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1605.05014

Abstract

Global existence of strong solutions and the existence of global and atrractors are established for generalized Shigesada-Kawasaki-Teramoto models on planar domains. The cross diffusion and reaction can have polynomial growth of any order.

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