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Entropy dissipation rate and convergence in kinetic equations

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Abstract

We give a lower bound of the entropy dissipation rate of Kač, Boltzmann and Fokker-Planck-Landau equations. We apply this estimate to the problem of the speed of convergence to equilibrium in large time for the Boltzmann equation.

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Authors and Affiliations

  1. Centre de Mathématiques Appliquées, Ecole Normale Supérieure, 45 Rue d'Ulm, F-75230, Paris Cedex 05, France

    L. Desvillettes

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  1. L. Desvillettes
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Communicated by J.L. Lebowitz

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Desvillettes, L. Entropy dissipation rate and convergence in kinetic equations. Commun.Math. Phys. 123, 687–702 (1989). https://doi.org/10.1007/BF01218592

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  • DOI: https://doi.org/10.1007/BF01218592

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