Global existence for a strongly coupled reaction diffusion system
Analysis of PDEs
2014-08-04 v2
Abstract
In this work we use functional methods to prove the boundedness and global existence of solutions for a class of strongly coupled parabolic systems. We apply the results to deduce the global existence of solutions for a classic Shigesada-Kawasaki-Teramoto (SKT) type model, for an extended range of the self-diffusion and cross-diffusion coefficients than those available in the current literature. We provide numerical simulations in 2D, via a spectral Galerkin method to verify our global existence results, as well as to visualize the dynamics of the system.
Keywords
Cite
@article{arxiv.1404.5984,
title = {Global existence for a strongly coupled reaction diffusion system},
author = {Said Kouachi and Kamuela E. Yong and Rana D. Parshad},
journal= {arXiv preprint arXiv:1404.5984},
year = {2014}
}