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Conservative forms of Boltzmann's collision operator:Landau revisited

Published online by Cambridge University Press:  15 August 2002

Cédric Villani
Cédric Villani*
Affiliation:
École Normale Supérieure, DMI, 45 rue d'Ulm, 75230 Paris Cedex 05, France.
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Abstract

We show that Boltzmann's collision operator can be written explicitly in divergence and double divergence forms. These conservative formulations may be of interest for both theoretical and numerical purposes. We give an application to the asymptotics of grazing collisions.

Keywords

Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 1 , January 1999 , pp. 209 - 227
Copyright
© EDP Sciences, SMAI, 1999

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