Global smooth solutions for triangular reaction-cross diffusion systems
Analysis of PDEs
2022-02-22 v1
Abstract
For a class of reaction cross-diffusion systems of two equations with a cross-diffusion term in the first equation and with self-diffusion terms, we prove that the unique local smooth solution given by Amann theorem is actually global. This class of systems arises in Population dynamics, and extends the triangular Shigesada-Kawasaki-Teramoto system when general power-laws growth are considered in the reaction and diffusion rates.
Cite
@article{arxiv.2202.10256,
title = {Global smooth solutions for triangular reaction-cross diffusion systems},
author = {Jessica Guerand and Angeliki Menegaki and Ariane Trescases},
journal= {arXiv preprint arXiv:2202.10256},
year = {2022}
}