Global existence and asymptotic behavior for a reaction-diffusion system with unbounded coefficients
Analysis of PDEs
2022-06-14 v1
Abstract
We consider a reaction-diffusion system which may serve as a model for a ferment catalytic reaction in chemistry. The model consists of a system of reaction diffusion equations with unbounded time dependent coefficients and different polynomial reaction terms. An exponential decay of the globally bounded solutions is proved. The key tool of the proofs are properties of analytic semigroups and some inequalities.
Cite
@article{arxiv.2206.05538,
title = {Global existence and asymptotic behavior for a reaction-diffusion system with unbounded coefficients},
author = {Mohamed Majdoub and Nasser-eddine Tatar},
journal= {arXiv preprint arXiv:2206.05538},
year = {2022}
}