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Mathematics of the USSR-Sbornik, 1991, Volume 69, Issue 2, Pages 465–478
DOI: https://doi.org/10.1070/SM1991v069n02ABEH001244 (Mi sm1177) 		 
This article is cited in 65 scientific papers (total in 65 papers)

On the connection between the solutions of the Boltzman and the Landau–Fokker–Planck equations

A. A. Arsen'ev, O. E. Buryak

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
English version PDF (618 kB) Citations (65) Russian version article
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DOI: https://doi.org/10.1070/SM1991v069n02ABEH001244
Abstract: It is proved that a solution of the Boltzmann equation in the limit case of scattering by small angles tends to a solution of the Landau–Fokker–Planck equation.
Received: 16.04.1988
Bibliographic databases:
UDC: 517.958+519.2
MSC: 76P05, 82A40, 82A45
Language: English
Original paper language: Russian
Citation: A. A. Arsen'ev, O. E. Buryak, “On the connection between the solutions of the Boltzman and the Landau–Fokker–Planck equations”, Math. USSR-Sb., 69:2 (1991), 465–478
Citation in format AMSBIB
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\by A.~A.~Arsen'ev, O.~E.~Buryak
\paper On the connection between the solutions of the Boltzman and the Landau--Fokker--Planck equations
\jour Math. USSR-Sb.
\yr 1991
\vol 69
\issue 2
\pages 465--478
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991SbMat..69..465A}
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    • This publication is cited in the following 65 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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