| Volume 8, Number 3, 2018, Pages 836-858 DOI：10.11948/2018.836 |
| Asymptotic behavior in chemical reaction-diffusion systems with boundary equilibria |
| Michel Pierre,Takashi Suzuki,Haruki Umakoshi |
| 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. |
PDF Download reader
|
|
|
|