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Preprints of the Keldysh Institute of Applied Mathematics, 2019, 030, 14 pp.
DOI: https://doi.org/10.20948/prepr-2019-30-e (Mi ipmp2668) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the comparison of Boltzmann and Landau collision integrals

A. V. Bobylev, Jin-Ching Jiang, I. F. Potapenko
Full-text PDF (422 kB) Citations (1)
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DOI: https://doi.org/10.20948/prepr-2019-30-e
Abstract: The estimate for the difference of the Landau collision integral and the Boltzmann collision integral with delta-kernel is obtained. The estimate holds in a class of smooth and rapidly decreasing at infinity distribution functions. It is proved in the general case of multicomponent gas mixture. Results can be used for theoretical and numerical problems related to the nonlinear Landau–Fokker–Planck kinetic equation.
Keywords: Boltzmann collision integral, Landau kinetic equation, delta-kernel.
Funding agency Grant number
Russian Foundation for Basic Research 17-51-52007_МНТ_а
Ministry of Science and Technology, Taiwan NSC 107-2923-M-001-001
The support from RFBR for A.V. Bobylev and I.F. Potapenko is appreciated. The research of J-C. Jiang is supported in part by National Science Council Grant NSC 107-2923-M-001-001.
Document Type: Preprint
Language: English
Citation: A. V. Bobylev, Jin-Ching Jiang, I. F. Potapenko, “On the comparison of Boltzmann and Landau collision integrals”, Keldysh Institute preprints, 2019, 030, 14 pp.
Citation in format AMSBIB
\Bibitem{BobJiaPot19}
\by A.~V.~Bobylev, Jin-Ching~Jiang, I.~F.~Potapenko
\paper On the comparison of Boltzmann and Landau collision integrals
\jour Keldysh Institute preprints
\yr 2019
\papernumber 030
\totalpages 14
\mathnet{http://mi.mathnet.ru/ipmp2668}
\crossref{https://doi.org/10.20948/prepr-2019-30-e}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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