Asymptotic behavior in chemical reaction-diffusion systems with boundary equilibria
Résumé
We consider the asymptotic behavior for large time of solutions to reaction-diffusion systems modeling reversible chemical reactions. We focus on the case where multiple equilibria exist. In this case, due to the existence of so-called " boundary equilibria " , the analysis of the asymptotic behavior is not obvious. The solution is understood in a weak sense as a limit of adequate approximate solutions. We prove that this solution converges in L 1 toward an equilibrium as time goes to infinity and that the convergence is exponential if the limit is strictly positive.
Origine : Fichiers produits par l'(les) auteur(s)
Loading...