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Some general properties of the nonlinear collision integral in the Boltzmann equation

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Abstract

A new method for computing matrix elements of the collision integral in the Boltzmann equation makes it possible to consider many problems of the kinetic theory of gases in a new way. Nonlinear kernels of the collision integral are studied and similarity relations, which simplify significantly the problem of constructing of such kernels, are proved.

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Authors and Affiliations

  1. Ioffe Physical-Technical Institute, Russian Academy of Sciences, Politekhnicheskaya ul. 26, St. Petersburg, 194021, Russia

    A. Ya. Ender & L. A. Bakaleinikov

  2. St. Petersburg State University, St. Petersburg, 198504, Russia

    I. A. Ender

Authors
  1. A. Ya. Ender
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  2. I. A. Ender
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  3. L. A. Bakaleinikov
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Correspondence to A. Ya. Ender.

Additional information

Original Russian Text © A.Ya. Ender, I.A. Ender, L.A. Bakaleinikov, 2010, published in Zhurnal Tekhnicheskoĭ Fiziki, 2010, Vol. 80, No. 10, pp. 12–21.

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Ender, A.Y., Ender, I.A. & Bakaleinikov, L.A. Some general properties of the nonlinear collision integral in the Boltzmann equation. Tech. Phys. 55, 1400–1410 (2010). https://doi.org/10.1134/S1063784210100026

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  • DOI: https://doi.org/10.1134/S1063784210100026

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