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Exponential Convergence to Equilibrium for Nonlinear Reaction-Diffusion Systems Arising in Reversible Chemistry
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.
Cited literature [22 references]
https://hal.inria.fr/hal-01286402
Contributor : Hal Ifip <>
Submitted on : Thursday, March 10, 2016 - 5:14:10 PM
Last modification on : Thursday, April 15, 2021 - 3:31:41 AM
Long-term archiving on: : Sunday, November 13, 2016 - 3:25:00 PM
Contributor : Hal Ifip <>
Submitted on : Thursday, March 10, 2016 - 5:14:10 PM
Last modification on : Thursday, April 15, 2021 - 3:31:41 AM
Long-term archiving on: : Sunday, November 13, 2016 - 3:25:00 PM
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