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Around 3D Boltzmann non linear operator without angular cutoff, a new formulation

Published online by Cambridge University Press:  15 April 2002

Radjesvarane Alexandre
Radjesvarane Alexandre*
Affiliation:
MAPMO, UMR 6627, Département de Mathématiques, Université d'Orléans, BP 6759 45067 Orleans Cedex 2, France. (alexandr@labomath.univ-orleans.fr)
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Abstract

We propose a new formulation of the 3D Boltzmann non linear operator, without assuming Grad's angular cutoff hypothesis, and for intermolecular laws behaving as 1/rs , with s> 2. It involves natural pseudo differential operators, under a form which is analogous to the Landau operator. It may be used in the study of the associated equations, and more precisely in the non homogeneous framework.

Keywords

Boltzmann operatorellipticitynon angular cutoffpseudo differential operators.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 34 , Issue 3 , May 2000 , pp. 575 - 590
Copyright
© EDP Sciences, SMAI, 2000

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