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Article Dans Une Revue Asymptotic Analysis Année : 2001

The grazing collision limit for the Boltzmann–Lorentz model

Résumé

The Lorentz operators are derived from either Boltzmann or Fokker–Planck collisions operators when considering a mixture of species with disparate masses [8]. The Fokker–Planck operator is the so called “grazing collision limit” of the Boltzmann operator as proved in [1,12,7]. In our simpler case, we improve the results by proving uniform in time convergence and by controling the speed of the trend to equilibrium. The results are based on a spectral analysis of the operators which share the same basis of eigenfunctions.
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Dates et versions

hal-00076921 , version 1 (30-05-2006)

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  • HAL Id : hal-00076921 , version 1

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Christophe Buet, Stéphane Cordier, Brigitte Lucquin-Desreux. The grazing collision limit for the Boltzmann–Lorentz model. Asymptotic Analysis, 2001, 25, pp.93-107. ⟨hal-00076921⟩
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