Global Existence and Regularity Results for Large Cross Diffusion Models on Planar Domains

2016/04/29 by Dung Le, Le, Dung
Medicine · #35B65 #35J70 #42B37 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.1605.00043

openalex publication_date 2016/04/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The global existence of classical solutions to cross diffusion systems of more than 2 equations given on a planar domain is established. The results can apply to generalized Shigesada-Kawasaki-Teramoto (SKT) and food pyramid models whose diffusion and reaction can have polynomial growth of any order.

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