Abstract
Solutions of the Boltzmann equation are proved to exist, globally in time, under conditions that include the case of a finite volume of gas in an infinite vacuum when the mean free path of the gas is large enough. It is also proved, as might be expected in this case, that the density of the gas at each point in space goes to zero as time goes to infinity.
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Communicated by J. L. Lebowitz
Research supported by the Natural Science and Engineering Research Council Canada under Grant No. A-8560
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Illner, R., Shinbrot, M. The Boltzmann equation: Global existence for a rare gas in an infinite vacuum. Commun.Math. Phys. 95, 217–226 (1984). https://doi.org/10.1007/BF01468142
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DOI: https://doi.org/10.1007/BF01468142