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Basic kinetic equation of a rarefied gas

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Abstract

Starting from the Liouville equation, the basic kinetic equation of a rarefied gas is derived for both spatially homogeneous and spatially nonhomogeneous systems. The relation between the equation obtained and the Boltzmann equation is investigated, together with the nature of the dependence of the solutions of the basic kinetic equation on the number of particles in the system.

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Authors and Affiliations

  1. Novosibirsk

    V. Ya. Rudyak

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  1. V. Ya. Rudyak
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 154–160, November–December, 1989.

The author is grateful to M. S. Ivanov for numerous stimulating discussions and to D. N. Zubarev, E. G. Kolesnichenko, and V. E. Yanitskii for their help in assessing the results.

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Rudyak, V.Y. Basic kinetic equation of a rarefied gas. Fluid Dyn 24, 954–959 (1989). https://doi.org/10.1007/BF01050031

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