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Characterization of collision kernels

Published online by Cambridge University Press:  15 November 2003

Laurent Desvillettes  and
Francesco Salvarani
Laurent Desvillettes
Affiliation:
École Normale Supérieure de Cachan, Centre de Mathématiques et leurs Applications, 61 Avenue du Président Wilson, 94235 Cachan, France. desville@cmla.ens-cachan.fr.
Francesco Salvarani
Affiliation:
Università degli Studi di Pavia, Dipartimento di Matematica, Via Ferrata, 1, 27100 , Italy. salvarani@dimat.unipv.it.
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Abstract

In this paper we show how abstract physical requirements are enough to characterize the classical collision kernels appearing in kinetic equations. In particular Boltzmann and Landau kernels are derived.

Keywords

BoltzmannLandaucollision kernels.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 37 , Issue 2 , March 2003 , pp. 345 - 355
Copyright
© EDP Sciences, SMAI, 2003

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