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The grazing collision limit for the Boltzmann–Lorentz model

The grazing collision limit for the Boltzmann–Lorentz model 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Asymptotic Analysis IOS Press

The grazing collision limit for the Boltzmann–Lorentz model

C. Buet; S. Cordier; B. Lucquin-Desreux
Asymptotic Analysis , Volume 25 (2) – Jan 1, 2001
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Publisher
IOS Press
Copyright
Copyright © 2001 by IOS Press, Inc
ISSN
0921-7134
eISSN
1875-8576
Publisher site
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Abstract

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.

Journal

Asymptotic Analysis – IOS Press

Published: Jan 1, 2001

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