Asymptotic behaviour of reversible chemical reaction-diffusion equations

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September 2010, 3(3): 427-444. doi: 10.3934/krm.2010.3.427

Asymptotic behaviour of reversible chemical reaction-diffusion equations

Ivan Gentil ^1, and Bogusław Zegarlinski ^2,

1.	Ceremade, UMR CNRS 7534, Université Paris-Dauphine, Place du Maréchal De Lattre de Tassigny, 75775 PARIS Cedex 16
2.	Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom

Received June 2009 Revised April 2010 Published July 2010

Abstract
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We investigate the asymptotic behavior of a large class of reversible chemical reaction-diffusion equations with the same diffusion. In particular we prove the optimal rate in two cases : when there is no diffusion and in the classical "two-by-two" case.

Keywords: Asymptotic behaviour., Reaction-diffusion equations, Poincaré inequality.

Mathematics Subject Classification: Primary: 35B40; Secondary: 28B1.

Citation: Ivan Gentil, Bogusław Zegarlinski. Asymptotic behaviour of reversible chemical reaction-diffusion equations. Kinetic & Related Models, 2010, 3 (3) : 427-444. doi: 10.3934/krm.2010.3.427

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