| Issue |
ESAIM: M2AN
Volume 34, Number 3, May/june 2000
|
|
|---|---|---|
| Page(s) | 575 - 590 | |
| DOI | https://doi.org/10.1051/m2an:2000157 | |
| Published online | 15 April 2002 | |
Around 3D Boltzmann non linear operator without angular cutoff, a new formulation
MAPMO, UMR 6627, Département de Mathématiques,
Université d'Orléans, BP 6759 45067 Orleans Cedex 2, France. (alexandr@labomath.univ-orleans.fr)
Received:
10
June
1999
Revised:
22
September
1999
Revised:
22
October
1999
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.
Mathematics Subject Classification: 35D05 / 35D10 / 35K70 / 82B40
Key words: Boltzmann operator / ellipticity / non angular cutoff / pseudo differential operators.
© EDP Sciences, SMAI, 2000
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