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entropy methods

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Exponential convergence to equilibrium via Lyapounov functionals for reaction-diffusion equations arisingfrom non reversible chemical kinetics
Marzia Bisi, Laurent Desvillettes, Giampiero Spiga
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 43 / Issue 1 / January 2009

Published online by Cambridge University Press:

05 December 2008, pp. 151-172

Print publication:

January 2009
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 We show that the entropy method, that has been used successfully in orderto prove exponential convergence towards equilibrium with explicit constants in many contexts,among which reaction-diffusion systems coming out of reversible chemistry, can also be usedwhen one considers a reaction-diffusion system corresponding to an irreversible mechanism ofdissociation/recombination, for which no natural entropy is available.