Kinetic limits for a class of interacting particle systems

Probability Theory and Related Fields

Volumn 104, Issue 1, 1996, Pages 97-146

  Rezakhanlou, F ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030555032     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050019     Document Type: Article

References (12)

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2. Caprino, S., DeMasi, A., Presutti, E., Pulvirenti, M.: A derivation of the Broadwell equation. Comm. Math. Phys. 135, 443-465 (1991)
3. Caprino, S., Pulvirenti, M.: A cluster expansion approach to a one-dimensional Boltzmann equation: a validity result. Preprint
4. DeMasi, A., Presutti, E.: Mathematical methods for hydrodynamical limits (Lect. Notes Math., vol. 1501) Berlin Heidelberg New York: Springer 1991
5. Ethier, S.N., Kurtz, G.T.: Markov processes, characterization and convergence. New York: Wiley 1980
6. Illner, R., Platkowski, T.: Discrete velocity models of the Boltzmann equation: a survey on the mathematical aspects of the theory. SIAM Rev. 30, 213-255 (1988)
7. Illner, R., Pulvirenti, M.: Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum. Comm. Math. Phys. 105, 189-203 (1986)
8. Illner, R., Pulvirenti, M.: Global validity of the Boltzmann equation for a two and three-dimensional rare gas in vacuum: erratum and improved results. Comm. Math. Phys. 121, 143-146 (1989)
9. King, F.: BBGKY hierarchy for positive potentials. Ph.D. Thesis, Department of Mathematics, University of California at Berkeley (1975)
10. Lanford, O.E.: Time evolution of large classical systems. In: Moser, E.J. (Lect. Notes Phys., vol. 38, pp. 1-111) Berlin: Springer 1975
11. Pulvirenti, M.: Global validity of the Boltzmann equation for a three-dimensional rare gas in vacuum. Comm. Math. Phys. 113, 79-85 (1987)
12. Rezakhanlou, F.: Propagation of chaos for particle systems associated with discrete Boltzmann equation. Preprint