Abstract : We consider a prototypical nonlinear reaction-diffusion system arising in reversible chemistry. Based on recent existence results of global weak and classical solutions derived from entropy-decay related a-priori estimates and duality methods, we prove exponential convergence of these solutions towards equilibrium with explicit rates in all space dimensions.The key step of the proof establishes an entropy entropy-dissipation estimate, which relies only on natural a-priori estimates provided by mass-conservation laws and the decay of an entropy functional.
Christian Pötzsche; Clemens Heuberger; Barbara Kaltenbacher; Franz Rendl. 26th Conference on System Modeling and Optimization (CSMO), Sep 2013, Klagenfurt, Austria. Springer Berlin Heidelberg, IFIP Advances in Information and Communication Technology, AICT-443, pp.96-104, 2014, System Modeling and Optimization. 〈10.1007/978-3-662-45504-3_9〉
https://hal.inria.fr/hal-01286402
Contributeur : Hal Ifip
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Soumis le : jeudi 10 mars 2016 - 17:14:10
Dernière modification le : jeudi 11 janvier 2018 - 06:12:21
Document(s) archivé(s) le : dimanche 13 novembre 2016 - 15:25:00
Laurent Desvillettes, Klemens Fellner. Exponential Convergence to Equilibrium for Nonlinear Reaction-Diffusion Systems Arising in Reversible Chemistry. Christian Pötzsche; Clemens Heuberger; Barbara Kaltenbacher; Franz Rendl. 26th Conference on System Modeling and Optimization (CSMO), Sep 2013, Klagenfurt, Austria. Springer Berlin Heidelberg, IFIP Advances in Information and Communication Technology, AICT-443, pp.96-104, 2014, System Modeling and Optimization. 〈10.1007/978-3-662-45504-3_9〉. 〈hal-01286402〉
