Discrete velocity models without nonphysical invariants

Journal of Statistical Physics

Volumn 97, Issue 3-4, 1999, Pages 677-686

  Bobylev, Alexander V ^a   Cercignani, Carlo ^b  

^a KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

^b POLITECNICO DI MILANO   (Italy)

Author keywords

Boltzmann equation; Discrete velocity models; Kinetic theory

Indexed keywords

EID: 0033235596     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1004615309058     Document Type: Article

References (7)

1. A. V. Bobylev and C. Cercignani, Discrete velocity models for mixtures, Jour. Stat. Phys. 91:327-342 (1998).
2. C. Cercignani and A. V. Bobylev, Discrete velocity models: the case of mixtures, Transp. Th. Stat. Phys. (to appear, 1999).
3. H. Cornille, private communication (1998).
4. V. V. Vedenyapin and Yu. N. Orlov, Polynomial invariants for quantum Hamiltoniants and for discrete velocity models of the Boltzmann equation, Preprint (in Russian). Keldysh Institute of Applied Mathematics (December, 1998).
5. H. Cornille and C. Cercignani, Shock waves for a discrete velocity gas mixture, submitted to J. Stat. Phys.
6. C. Cercignani, Sur des critères d'existence globale en théorie cinétique discrète, C.R. Acad. Sc. Paris 301, Série I, No. 3, 89 (1985).
7. F. Rogier and J. Schneider, A direct method for solving the Boltzmann equation, Transp. Th. Stat. Phys. 23:313-338 (1994).