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

Radjesvarane Alexandre

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 34, Issue: 3, page 575-590
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Alexandre, Radjesvarane. "Around 3D Boltzmann non linear operator without angular cutoff, a new formulation." ESAIM: Mathematical Modelling and Numerical Analysis 34.3 (2010): 575-590. <http://eudml.org/doc/197539>.

@article{Alexandre2010,
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. },
author = {Alexandre, Radjesvarane},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Boltzmann operator; ellipticity; non angular cutoff; pseudo differential operators.; non-cutoff Boltzmann collision operator; Boltzmann-Coulomb operator; pseudodifferential operators},
language = {eng},
month = {3},
number = {3},
pages = {575-590},
publisher = {EDP Sciences},
title = {Around 3D Boltzmann non linear operator without angular cutoff, a new formulation},
url = {http://eudml.org/doc/197539},
volume = {34},
year = {2010},
}

TY - JOUR
AU - Alexandre, Radjesvarane
TI - Around 3D Boltzmann non linear operator without angular cutoff, a new formulation
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 34
IS - 3
SP - 575
EP - 590
AB - 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.
LA - eng
KW - Boltzmann operator; ellipticity; non angular cutoff; pseudo differential operators.; non-cutoff Boltzmann collision operator; Boltzmann-Coulomb operator; pseudodifferential operators
UR - http://eudml.org/doc/197539
ER -

References

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