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Zhurnal Tekhnicheskoi Fiziki, 2015, Volume 85, Issue 1, Pages 10–14
(Mi jtf7650)
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This article is cited in 7 scientific papers (total in 7 papers)
Theoretical and Mathematical Physics
The collision integral kernels of the scalar nonlinear Boltzmann equation for pseudopower potentials
Ë. À. Bakaleynikova, È. A. Troppa, E. Yu. Flegontovaa, A. I. Endera, I. A. Enderb a Ioffe Institute, St. Petersburg
b Saint Petersburg State University
Abstract:
Analytic expressions are obtained for the collision integral kernels of the isotropic nonlinear Boltzmann equation for pseudopower interaction potentials. It is shown that for an arbitrary power exponent, the kernels can be expressed in terms of hypergeometric functions. In some cases, the kernels can be expressed in terms of elementary functions.
Received: 29.04.2014
Citation:
Ë. À. Bakaleynikov, È. A. Tropp, E. Yu. Flegontova, A. I. Ender, I. A. Ender, “The collision integral kernels of the scalar nonlinear Boltzmann equation for pseudopower potentials”, Zhurnal Tekhnicheskoi Fiziki, 85:1 (2015), 10–14; Tech. Phys., 60:1 (2015), 8–13
Linking options:
https://www.mathnet.ru/eng/jtf7650 https://www.mathnet.ru/eng/jtf/v85/i1/p10
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