Asymptotic behaviour of  reversible chemical reaction-diffusion equations

Ivan Gentil; Bogusław Zegarlinski

doi:10.3934/krm.2010.3.427

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2010, Volume 3, Issue 3: 427-444. Doi: 10.3934/krm.2010.3.427

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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

Received: May 31, 2009

Revised: March 31, 2010

Published: August 2010

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Abstract

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.

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Mathematics Subject Classification: Primary: 35B40; Secondary: 28B10.

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