Entropy methods for reaction-diffusion systems

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2007, 2007(Special): 304-312. doi: 10.3934/proc.2007.2007.304

Entropy methods for reaction-diffusion systems

Laurent Desvillettes ^1, and Klemens Fellner ^2,

1.	ENS Cachan, CMLA, IUF & CNRS, PRES UniverSud, 61, Av. du Pdt Wilson, 94235 Cachan Cedex, France
2.	Faculty of Mathematics, University of Vienna, Nordbergstr. 15, 1090 Wien, Austria

Received July 2006 Revised April 2007 Published September 2007

Abstract
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In the continuation of [6], we study reversible reaction-diffusion systems via entropy methods (based on the free energy functional). We show for a particular model problem with two reacting species in which one of the diffusion constants vanishes that the solutions decay exponentially with explicit rate and constant towards the unique constant equilibrium state.

Keywords: Entropy Method, Exponential Decay, Reaction-Diffusion, Degenerate Diffusion..

Mathematics Subject Classification: 35B40, 35K5.

Citation: Laurent Desvillettes, Klemens Fellner. Entropy methods for reaction-diffusion systems. Conference Publications, 2007, 2007 (Special) : 304-312. doi: 10.3934/proc.2007.2007.304

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