Global Existence for some Cross Diffusion Systems with Equal Cross Diffusion/Reaction Rates
Analysis of PDEs
2019-10-21 v2
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.
Cite
@article{arxiv.1910.07260,
title = {Global Existence for some Cross Diffusion Systems with Equal Cross Diffusion/Reaction Rates},
author = {Dung Le},
journal= {arXiv preprint arXiv:1910.07260},
year = {2019}
}