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Sibirskii Zhurnal Industrial'noi Matematiki, 2010, Volume 13, Number 3, Pages 76–85 (Mi sjim626)  
This article is cited in 2 scientific papers (total in 2 papers)

An analytic solution of the Vlasov–Maxwell equations in the skin effect problem with electron-electron collisions

A. V. Latyshev, T. V. Tereshina, A. A. Yushkanov

Moscow Region State University, Moscow, RUSSIA
Full-text PDF (286 kB) Citations (2)
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Abstract: We solve the skin effect problem analytically in the case that electron-electron collisions start affecting the properties of a Maxwell plasma. We apply a two-parameter kinetic equation to take these collisions into account. We find analytic expressions for the electric field, electron distribution, and impedance accounting for the collisions. We analyze impedance near the plasma resonance.
Keywords: mirror scattering, impedance, two-parameter kinetic equation, skin effect, plasma resonance.
Received: 27.08.2009
Revised: 15.03.2010
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 3, Pages 374–382
DOI: https://doi.org/10.1134/S1990478911030094
Bibliographic databases:
Document Type: Article
UDC: 519.6+537.84
Language: Russian
Citation: A. V. Latyshev, T. V. Tereshina, A. A. Yushkanov, “An analytic solution of the Vlasov–Maxwell equations in the skin effect problem with electron-electron collisions”, Sib. Zh. Ind. Mat., 13:3 (2010), 76–85; J. Appl. Industr. Math., 5:3 (2011), 374–382
Citation in format AMSBIB
\Bibitem{LatTerYus10}
\by A.~V.~Latyshev, T.~V.~Tereshina, A.~A.~Yushkanov
\paper An~analytic solution of the Vlasov--Maxwell equations in the skin effect problem with electron-electron collisions
\jour Sib. Zh. Ind. Mat.
\yr 2010
\vol 13
\issue 3
\pages 76--85
\mathnet{http://mi.mathnet.ru/sjim626}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2841199}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 3
\pages 374--382
\crossref{https://doi.org/10.1134/S1990478911030094}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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