"Eternal" solutions for a model of the Boltzmann equation

Mathematical Models and Methods in Applied Sciences

Volumn 9, Issue 1, 1999, Pages 127-137

  Cabannes, Henri ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033485078     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202599000099     Document Type: Article

References (8)

1. M. Balabane, Un résultat d'existence globale pour le sytème de Carleman, C. R. Acad. Sci. Paris 301 (1986) 919-922.
2. H. Cabannes, Global solution of the discrete Boltzmann equation, in Mathematical Problems in Kinetic Theory of Gases, eds. D. C. Pack and H. Neunzert (Peter D. Lang Verlag, 1980), pp. 25-44.
3. H. Cabannes and N. Sibgatullin, Analytical solutions for a semi-continuous model of the Boltzmann equation, Proc. of the 20th Rarefied Gas Dynamics Symposium, Beijing, August 19-23, 1996.
4. H. Cabannes and N. Sibgatullin, The Cauchy problem for a semi-continuous model of the two-dimensional homogeneous Boltzmann equation, C. R. Acad. Sci. Paris 325 (1997) 217-222.
5. R. DiPerna and P. L. Lions, Solutions globales pour l'équation de Boltzmann, C. R. Acad. Sci. Paris 306 (1988) 343-346.
6. R. Gatignol, Théorie cinétique d'un gaz à répartition discrète de vitesses, Z. Flugwiss. 18 (1970) 91-97.
7. R. Gatignol, Théorie Cinétique d'un gaz à Répartition Discrète de Vitesses, Lecture Notes in Physics, Vol. 36 (Springer 1975).
8. N. Sibgatullin and H. Cabannes, Homogeneous solutions for a semi-continuous model of the Boltzmann equation, Math. Models Method Appl. Sci. 5 (1995) 1129-1138.