Geodesic
Exponential convergence to equilibrium via Lyapounov functionals for reaction-diffusion equations arising from non reversible chemical kinetics
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 43 (2009) no. 1, pp. 151-172
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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.

DOI : 10.1051/m2an:2008045
Classification : 35B40, 35B50, 35K57, 80A30, 92E20
Keywords: entropy methods, Lyapounov functionals, reaction-diffusion equations 
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     author = {Bisi, Marzia and Desvillettes, Laurent and Spiga, Giampiero},
     title = {Exponential convergence to equilibrium via {Lyapounov} functionals for reaction-diffusion equations arising from non reversible chemical kinetics},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {151--172},
     year = {2009},
     publisher = {EDP-Sciences},
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     number = {1},
     doi = {10.1051/m2an:2008045},
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     zbl = {1155.35312},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2008045/}
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Bisi, Marzia; Desvillettes, Laurent; Spiga, Giampiero. Exponential convergence to equilibrium via Lyapounov functionals for reaction-diffusion equations arising from non reversible chemical kinetics. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 43 (2009) no. 1, pp. 151-172. doi: 10.1051/m2an:2008045

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