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Mathematics of the USSR-Sbornik, 1986, Volume 55, Issue 2, Pages 437–465
DOI: https://doi.org/10.1070/SM1986v055n02ABEH003013 (Mi sm2007) 		 
This article is cited in 21 scientific papers (total in 21 papers)

The linear theory of Landau damping

V. P. Maslov, M. V. Fedoryuk
English version PDF (1343 kB) Citations (21)
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DOI: https://doi.org/10.1070/SM1986v055n02ABEH003013
Abstract: The one-dimensional system of Vlasov equations linearized at the stationary solution of the nonlinear system is considered. A rigorous theory of Landau damping is presented. A new integral equation with a shift for the electric field is derived in a more general case, and the uniqueness of its solution is proved. A quasiclassical approximation for the linear system of Vlasov equations is obtained.
Bibliography: 15 titles.
Received: 03.04.1984
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1985, Volume 127(169), Number 4(8), Pages 445–475
Bibliographic databases:
UDC: 517.98
MSC: 82A45
Language: English
Original paper language: Russian
Citation: V. P. Maslov, M. V. Fedoryuk, “The linear theory of Landau damping”, Mat. Sb. (N.S.), 127(169):4(8) (1985), 445–475; Math. USSR-Sb., 55:2 (1986), 437–465
Citation in format AMSBIB
\Bibitem{MasFed85}
\by V.~P.~Maslov, M.~V.~Fedoryuk
\paper The linear theory of Landau damping
\jour Mat. Sb. (N.S.)
\yr 1985
\vol 127(169)
\issue 4(8)
\pages 445--475
\mathnet{http://mi.mathnet.ru/sm2007}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=806510}
\zmath{https://zbmath.org/?q=an:0662.35035|0589.35042}
\transl
\jour Math. USSR-Sb.
\yr 1986
\vol 55
\issue 2
\pages 437--465
\crossref{https://doi.org/10.1070/SM1986v055n02ABEH003013}
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Russian version PDF:434
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    References:112
    First page:5
     
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