The global existence of solutions and asymptotic stability of a reaction-diffusion system
Analysis of PDEs
2018-09-25 v2
Abstract
This paper studies the solutions of a reaction--diffusion system with nonlinearities that generalise the Lengyel--Epstein and FitzHugh--Nagumo nonlinearities. Sufficient conditions are derived for the global asymptotic stability of the system's solutions and confirmed through numerical Examples.
Keywords
Cite
@article{arxiv.1711.00976,
title = {The global existence of solutions and asymptotic stability of a reaction-diffusion system},
author = {Salem Abdelmalek and Samir Bendoukha and Mokhtar Kirane},
journal= {arXiv preprint arXiv:1711.00976},
year = {2018}
}
Comments
22 pages, 6 figures