On the homogeneous Boltzmann equation and its connection to the Landau-Fokker-Planck equation: Influence of grazing collisions;Sur l'équation de Boltzmann homogène et sa relation avec l'équation de Landau-Fokker-Planck : Influence des collisions rasantes

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 324, Issue 3, 1997, Pages 265-270

  Goudon, Thierry ^a  

^a Ecole Doctorale de Math de Bordeaux   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010073661     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(99)80358-9     Document Type: Article

References (11)

1. [1] Arkeryd L., 1972. On the Boltzmann equation, Arch. Rational Mech. Anal., 45, p. 1-34.
2. [2] Arkeryd L., 1981. Intermolecular forces of infinite range and the Boltzmann equation, Arch. Rational Mech. Anal., 77, p. 11-21.
3. [3] Arsenev A. et Buryak O., 1991. On the connection between a solution of the Boltzmann equation and a solution of the Landau-Fokker-Planck equation, Math. Sb., 181, 4, p. 465-477.
4. [4] Cercignani C., 1988. The Boltzmann equation and its applications, Springer-Verlag.
5. [5] Degond P. et Lucquin-Desreux B., 1992. The Fokker-Planck asymptotics of the Boltzmann operator in the Coulomb case, Math. Models Methods Appl. Sci., 2, 2, p. 167-182.
6. [6] Desvillettes L., 1992. On the asymptotics of the Boltzmann equation when the collisions become grazing, Transport Theory Statist. Phys., 21, p. 259-276.
7. [7] Desvillettes L., 1993. Some applications of the method of moments for the homogeneous Boltzmann and Kac equations, Arch. Rational Mech. Anal., 123, p. 387-404.
8. [8] Elmroth T., 1983. Global boundedness of moments of solutions of the Boltzmann equation for forces of infinite range, Arch. Rational Mech. Anal., 82, p. 1-12.
9. [9] Lifshitz E. and Pitaevski L., 1990. Cinétique Physique, Physique Théorique, L. Landau-E. Lifshitz, Mir.
10. [10] Villani C., 1996. Communication personnelle, travail en préparation.
11. [11] Wennberg B., 1995. On moments and uniqueness for solutions to the space homogeneous Boltzmann equation, preprint.