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Article Dans Une Revue Journal of Mathematical Analysis and Applications Année : 2017

Asymptotic behavior of solutions to chemical reaction-diffusion systems

Résumé

This paper concerns the study of the asymptotic behavior of solutions to reaction-diffusion systems modelling multi-components reversible chemistry with spatial diffusion. By solution, we understand any limit of adequate approximate solutions. It is proved in any space dimension that, as time tends to infinity, the solution converges exponentially to the unique homogeneous stationary solution. We adapt and extend to any number of components, the entropy decay estimates which have been exploited for some particular 3 × 3 and 4 × 4 systems.
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Dates et versions

hal-01387574 , version 1 (25-10-2016)

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Michel Pierre, Takashi Suzuki, Rong Zou. Asymptotic behavior of solutions to chemical reaction-diffusion systems. Journal of Mathematical Analysis and Applications, 2017, 450 (1), pp.152-168. ⟨10.1016/j.jmaa.2017.01.022⟩. ⟨hal-01387574⟩
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