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Article Dans Une Revue Journal of Applied Analysis and Computation Année : 2017

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.
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Dates et versions

hal-01671691 , version 1 (22-12-2017)

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  • HAL Id : hal-01671691 , version 1

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Michel Pierre, Takashi Suzuki, Haruki Umakoshi. Asymptotic behavior in chemical reaction-diffusion systems with boundary equilibria. Journal of Applied Analysis and Computation, In press. ⟨hal-01671691⟩
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