Abstract
This paper studies Loeb solutions of the Boltzmann equation in unbounded space under natural initial conditions of finite mass, energy, and entropy. An existence theory for large initial data is presented. Maxwellian behaviour is obtained in the limits of zero mean free path and of infinite time. In the standard, space-homogeneous, hard potential case, the infinite time limit is of strongL 1 type.
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Communicated by J. L. Lebowitz
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Arkeryd, L. On the Boltzmann equation in unbounded space far from equilibrium, and the limit of zero mean free path. Commun.Math. Phys. 105, 205–219 (1986). https://doi.org/10.1007/BF01211099
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DOI: https://doi.org/10.1007/BF01211099