Conservative forms of Boltzmann's collision operator: Landau revisited

Cédric Villani

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 33, Issue: 1, page 209-227
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Villani, Cédric. "Conservative forms of Boltzmann's collision operator: Landau revisited." ESAIM: Mathematical Modelling and Numerical Analysis 33.1 (2010): 209-227. <http://eudml.org/doc/197541>.

@article{Villani2010,
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. },
author = {Villani, Cédric},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Boltzmann's collision operator; asymptotics of grazing collisions},
language = {eng},
month = {3},
number = {1},
pages = {209-227},
publisher = {EDP Sciences},
title = {Conservative forms of Boltzmann's collision operator: Landau revisited},
url = {http://eudml.org/doc/197541},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Villani, Cédric
TI - Conservative forms of Boltzmann's collision operator: Landau revisited
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 1
SP - 209
EP - 227
AB - 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.
LA - eng
KW - Boltzmann's collision operator; asymptotics of grazing collisions
UR - http://eudml.org/doc/197541
ER -

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