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Construction of kernels of the nonlinear collision integral in the Boltzmann equation using laplace transformation

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Abstract

It is shown that the relation between kernels L l (v, v 1) of the linear collision integral and kernels G l l,0 (v, v 1, v 2) of the nonlinear collision integral can be reduced to the Laplace transformation. Analytic expressions for nonlinear kernels G +00,0 (v, v 1, v 2) and G +11,0 (v, v 1, v 2) are determined for hard spheres and pseudo-Maxwellian molecules.

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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 & E. Yu. Flegontova

  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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  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 Zhurnal Tekhnicheskoi Fiziki, 2012, Vol. 82, No. 6, pp. 1–8.

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Ender, A.Y., Ender, I.A., Bakaleinikov, L.A. et al. Construction of kernels of the nonlinear collision integral in the Boltzmann equation using laplace transformation. Tech. Phys. 57, 735–742 (2012). https://doi.org/10.1134/S1063784212060084

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  • DOI: https://doi.org/10.1134/S1063784212060084

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