| Issue |
ESAIM: M2AN
Volume 43, Number 1, January-February 2009
|
|
|---|---|---|
| Page(s) | 151 - 172 | |
| DOI | https://doi.org/10.1051/m2an:2008045 | |
| Published online | 05 December 2008 | |
Exponential convergence to equilibrium via Lyapounov functionals for reaction-diffusion equations arising from non reversible chemical kinetics
1
Dipartimento di Matematica, Università di Parma, Viale G.P. Usberti 53/A, 43100 Parma,
Italy. marzia.bisi@unipr.it giampiero.spiga@unipr.it
2
CMLA, ENS Cachan, IUF & CNRS, PRES UniverSud, 61 avenue du Président Wilson,
94230 Cachan, France. desville@cmla.ens-cachan.fr
Received:
28
June
2007
Revised:
18
January
2008
We show that the entropy method, that has been used successfully in order to prove exponential convergence towards equilibrium with explicit constants in many contexts, among which reaction-diffusion systems coming out of reversible chemistry, can also be used when one considers a reaction-diffusion system corresponding to an irreversible mechanism of dissociation/recombination, for which no natural entropy is available.
Mathematics Subject Classification: 35B40 / 35B50 / 35K57 / 80A30 / 92E20
Key words: Entropy methods / Lyapounov functionals / reaction-diffusion equations.
© EDP Sciences, SMAI, 2008
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