Boltzmann-grad limit for a particle system in continuum

Fraydoun Rezakhanlou; James E. Tarver

Annales de l'I.H.P. Probabilités et statistiques (1997)

  • Volume: 33, Issue: 6, page 753-796
  • ISSN: 0246-0203

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Rezakhanlou, Fraydoun, and Tarver, James E.. "Boltzmann-grad limit for a particle system in continuum." Annales de l'I.H.P. Probabilités et statistiques 33.6 (1997): 753-796. <http://eudml.org/doc/77589>.

@article{Rezakhanlou1997,
author = {Rezakhanlou, Fraydoun, Tarver, James E.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {one-dimensional particle system; discrete Boltzmann equation; kinetic limit},
language = {eng},
number = {6},
pages = {753-796},
publisher = {Gauthier-Villars},
title = {Boltzmann-grad limit for a particle system in continuum},
url = {http://eudml.org/doc/77589},
volume = {33},
year = {1997},
}

TY - JOUR
AU - Rezakhanlou, Fraydoun
AU - Tarver, James E.
TI - Boltzmann-grad limit for a particle system in continuum
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1997
PB - Gauthier-Villars
VL - 33
IS - 6
SP - 753
EP - 796
LA - eng
KW - one-dimensional particle system; discrete Boltzmann equation; kinetic limit
UR - http://eudml.org/doc/77589
ER -

References

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  7. [7] O. Lanford III, The evolution of large classical systems. In E. J. Moser, editor, Dynamical System, Theory and Applications, Vol. 38 of Lecture Notes in Physics, p. 1-111, Springer-Verlag, Berlin1975. Zbl0329.70011MR479206
  8. [8] R. Illner and M. Pulvirenti, Gloval validity of the Boltzmann equation for a two- and three-dimensional rare gase in vacuum: erratum and improved result. Communications in Mathematical Physics, 121, 1989, pp. 143-146. Zbl0850.76600MR985619
  9. [9] R. Monaco and L. Preziosi, Fluid Dynamic Applications of the Discrete Boltzmann Equation. World Scientific, Singapore, 1991. Zbl0761.76001MR1148366
  10. [10] T. Platkowski and R. Illner, Discrete velocity models of the Boltzmann equation: a survey on the mathematical aspects of the theory, SIAM Review, Vol. 30, 2, 1988, pp. 213-255. Zbl0668.76087MR941111
  11. [11] M. Pulvirenti, Global validity of the Boltzmann equation for a three-dimensional rare gas in vacuum, Communications in Mathematical Physics, Vol. 113, 1987, pp. 79-85. Zbl0665.76088MR918406
  12. [12] F. Rezakhanlou, Kinetic limits for a class of interacting particle systems, Probability Theory and Related Fields, Vol. 104, 1, 1996, pp. 97-146. Zbl0838.60085MR1367669
  13. [13] L. Tartar, Existence globale pour un système hyperbolique semilinéaire de la théorie cinétique des gaz, Séminaire Goulaouic-Schwartz (1975/1976), 1976. Zbl0336.35069
  14. [14] L. Tartar, Some existence theorems for semilinear hyperbolic systems in one space variable. Technical report, Unisersity of Wisconsin-Madison, 1980. 

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