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Construction of kernels G l l, 0 of the nonlinear collision integral in the Boltzmann equation for arbitrary l

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Abstract

It was shown in [1] that kernels L l (v, v 1) of linear collision integral and kernels G l l, 0 (v, v 1, v 2) of nonlinear collision integral are related by the Laplace transform. Here, analytical expressions are derived for nonlinear kernels G +l l, 0 (v, v 1, v 2) with arbitrary l for models of hard spheres and pseudo-Maxwellian molecules using the Laplace transform method.

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Authors and Affiliations

  1. Ioffe Physical Technical Institute, Russian Academy of Sciences, St. Petersburg, 194021, Russia

    A. Ya. Ender, I. A. Ender, L. A. Bakaleinikov & E. Yu. Flegontova

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  1. A. Ya. Ender
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  2. I. A. Ender
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  3. L. A. Bakaleinikov
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  4. E. Yu. Flegontova
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Correspondence to A. Ya. Ender.

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Original Russian Text © A.Ya. Ender, I.A. Ender, L.A. Bakaleinikov, E.Yu. Flegontova, 2012, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2012, Vol. 38, No. 15, pp. 40–48.

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Ender, A.Y., Ender, I.A., Bakaleinikov, L.A. et al. Construction of kernels G l l, 0 of the nonlinear collision integral in the Boltzmann equation for arbitrary l . Tech. Phys. Lett. 38, 706–710 (2012). https://doi.org/10.1134/S106378501208007X

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  • DOI: https://doi.org/10.1134/S106378501208007X

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