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

TL;DR

This paper proves the global existence of strong solutions and the presence of global attractors for generalized cross diffusion systems on planar domains, accommodating polynomial growth in cross diffusion and reaction terms.

Contribution

It establishes global existence and attractors for generalized models with polynomial growth in cross diffusion and reaction terms on planar domains.

Findings

Proves global existence of strong solutions.

Establishes existence of global attractors.

Handles polynomial growth in cross diffusion and reaction.

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.