The Kac Model Coupled to a Thermostat

Author:

Bonetto Federico,Loss Michael,Vaidyanathan Ranjini

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference21 articles.

1. Kac, M.: Foundations of kinetic theory. In: Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability. 1954–1955, vol. III, pp. 171–197. University of California Press, Berkeley and Los Angeles (1956)

2. McKean Jr, H.P.: Speed of approach to equilibrium for kac’s caricature of a maxwellian gas. Arch. Ration. Mech. Anal. 21, 343–367 (1966)

3. Lanford III, O.E.: Time evolution of large classical systems. In: Dynamical Systems, Theory and Applications (Recontres, Battelle Res. Inst., Seattle, Wash., 1974), pp. 1–111. Lecture Notes in Physics, vol. 38. Springer, Berlin (1975)

4. Lanford III, O.E.: On a derivation of the Boltzmann equation. In: International Conference on Dynamical Systems in Mathematical Physics (Rennes, 1975), pp. 117–137. Astérisque, No. 40. Societe Mathematique De France, Paris (1976).

5. Illner, R., Pulvirenti, M.: Global validity of the Boltzmann equation for two- and three-dimensional rare gas in vacuum. Erratum and improved result: “Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum” [Comm. Math. Phys. 105(2), 1986, pp. 189–203; MR0849204 (88d:82061)] and “Global validity of the Boltzmann equation for a three-dimensional rare gas in vacuum” [ibid. 113 (1987), no. 1, 79–85; MR0918406 (89b:82052)] by Pulvirenti. Comm. Math. Phys. 121(1), 143–146 (1989). http://projecteuclid.org/getRecord?id=euclid.cmp/1104178007 . Accessed 08 May 2014

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