| Asymptotic Behavior in Chemical Reaction-diffusion Systems with Boundary Equilibria |
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| Keywords:reaction-diffusion systems, asymptotic behavior of solution, convergence to equilibrium |
| Abstract: |
| 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. |
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