Exponential decay toward equilibrium via log convexity for a degenerate reaction-diffusion system
Analysis of PDEs
2021-08-31 v1
Abstract
We consider a system of two reaction-diffusion equations coming out of reversible chemistry. When the reaction happens on the totality of the domain, it is known that exponential convergence to equilibrium holds. We show in this paper that this exponential convergence also holds when the reaction holds only on a given open set of a ball, thanks to an observation estimate deduced by logarithmic convexity.
Keywords
Cite
@article{arxiv.2108.13215,
title = {Exponential decay toward equilibrium via log convexity for a degenerate reaction-diffusion system},
author = {Laurent Desvillettes and Kim Dang Phung},
journal= {arXiv preprint arXiv:2108.13215},
year = {2021}
}