Global Existence for some Cross Diffusion Systems with Equal Cross Diffusion/Reaction Rates

2019/10/16 by Dung Le, Le, Dung
Mathematics · Medicine · #35B65 #35J70 #42B37 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1910.07260

openalex publication_date 2019/10/16 · openalex created_date 2019/10/25 · openalex updated_date 2026/07/28

Abstract

We consider some cross diffusion systems which is inspired by models in mathematical biology/ecology, in particular the Shigesada-Kawasaki-Teramoto (SKT) model in population biology. We establish the global existence of strong solutions to systems for multiple species having equal either diffusion or reaction rates. The systems are given on bounded domains of arbitrary dimension.

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