Asymptotic behaviour of reversible chemical reaction-diffusion equations

TL;DR

This paper studies the long-term behavior of reversible chemical reaction-diffusion equations, establishing optimal convergence rates in specific cases such as no diffusion and classical two-by-two reactions.

Contribution

It provides the first rigorous analysis of asymptotic rates for a broad class of reversible reaction-diffusion systems, including key special cases.

Findings

Optimal rate of convergence in the no diffusion case

Optimal rate of convergence in the classical two-by-two case

Extension of asymptotic analysis to a large class of systems

Abstract

We investigate the asymptotic behavior of the a large class of reversible chemical reaction-diffusion equations with the same diffusion. In particular we prove the optimal rate in two cases : when there is no diffusion and in the classical "two-by-two" case.