Conservative forms of Boltzmann's collision operator : Landau revisited

Cédric Villani

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1999)

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

How to cite

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Villani, Cédric. "Conservative forms of Boltzmann's collision operator : Landau revisited." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 33.1 (1999): 209-227. <http://eudml.org/doc/193912>.

@article{Villani1999,
author = {Villani, Cédric},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Boltzmann's collision operator; asymptotics of grazing collisions},
language = {eng},
number = {1},
pages = {209-227},
publisher = {Dunod},
title = {Conservative forms of Boltzmann's collision operator : Landau revisited},
url = {http://eudml.org/doc/193912},
volume = {33},
year = {1999},
}

TY - JOUR
AU - Villani, Cédric
TI - Conservative forms of Boltzmann's collision operator : Landau revisited
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1999
PB - Dunod
VL - 33
IS - 1
SP - 209
EP - 227
LA - eng
KW - Boltzmann's collision operator; asymptotics of grazing collisions
UR - http://eudml.org/doc/193912
ER -

References

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  1. [1] C. Cercignani, The Boltzmann equation and its applications. Springer, New York (1988). Zbl0646.76001MR1313028
  2. [2] L. Desvillettes, On asymptotics of the Boltzmann equation when the collisions become grazing. Transp. Theory Stat. Phys. 21 (1992) 259-276. Zbl0769.76059MR1165528
  3. [3] M. Lemou, private communication. 
  4. [4] E. M. Lifchitz and L. P. Pitaevskii, Physical Kinetics - Course in theoretical physics, Vol. 10. Pergamon, Oxford, (1981). 
  5. [5] J. C. Maxwell, On the dynamical theory of gases. Phil. Trans. R. Soc. Lond. 157 (1886) 49-88. JFM01.0379.01
  6. [6] C. Villani, On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Arch. Rat. Mech. Anal. 143 (1997) 273-307. Zbl0912.45011MR1650006

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