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Zhurnal Tekhnicheskoi Fiziki, 2019, Volume 89, Issue 10, Pages 1482–1490
DOI: https://doi.org/10.21883/JTF.2019.10.48162.66-19 (Mi jtf5483) 		 
Theoretical and Mathematical Physics

General properties of collision integral kernels of the nonlinear Boltzmann equation

Ë. À. Bakaleynikov, E. Yu. Flegontova, È. A. Tropp

Ioffe Institute, St. Petersburg
Full-text PDF (152 kB)
DOI: https://doi.org/10.21883/JTF.2019.10.48162.66-19
Abstract: We consider general properties of kernels of the inverse collision integral, as well as kernels of integral operators appearing in the expansion of the collision integral in spherical harmonics. The recurrent relations between kernels obtained earlier are generalized to the case of interaction of particles with different masses. It is shown that the obtained properties ensure additive invariance of the number of particles, energy, and momentum.
Received: 22.02.2019
Revised: 22.02.2019
Accepted: 05.03.2019
English version:
Technical Physics, 2019, Volume 64, Issue 10, Pages 1400–1408
DOI: https://doi.org/10.1134/S1063784219100025
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Ë. À. Bakaleynikov, E. Yu. Flegontova, È. A. Tropp, “General properties of collision integral kernels of the nonlinear Boltzmann equation”, Zhurnal Tekhnicheskoi Fiziki, 89:10 (2019), 1482–1490; Tech. Phys., 64:10 (2019), 1400–1408
Citation in format AMSBIB
\Bibitem{BakFleTro19}
\by Ë.~À.~Bakaleynikov, E.~Yu.~Flegontova, \`E.~A.~Tropp
\paper General properties of collision integral kernels of the nonlinear Boltzmann equation
\jour Zhurnal Tekhnicheskoi Fiziki
\yr 2019
\vol 89
\issue 10
\pages 1482--1490
\mathnet{http://mi.mathnet.ru/jtf5483}
\crossref{https://doi.org/10.21883/JTF.2019.10.48162.66-19}
\elib{https://elibrary.ru/item.asp?id=41174966}
\transl
\jour Tech. Phys.
\yr 2019
\vol 64
\issue 10
\pages 1400--1408
\crossref{https://doi.org/10.1134/S1063784219100025}
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