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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2013, Volume 283, Pages 204–232
DOI: https://doi.org/10.1134/S0371968513040146 (Mi tm3512) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Initial-boundary value problems for the Vlasov–Poisson equations in a half-space

A. L. Skubachevskii

Peoples Friendship University of Russia, Moscow, Russia
Full-text PDF (366 kB) Citations (18)
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DOI: https://doi.org/10.1134/S0371968513040146
Abstract: We consider initial-boundary value problems for the Vlasov–Poisson equations in a half-space that describe evolution of densities for ions and electrons in a rarefied plasma. For sufficiently small initial densities with compact supports and large strength of an external magnetic field, we prove the existence and uniqueness of classical solutions for initial-boundary value problems with different boundary conditions for the electric potential: the Dirichlet conditions, the Neumann conditions, and nonlocal conditions.
Received in November 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2013, Volume 283, Pages 197–225
DOI: https://doi.org/10.1134/S0081543813080142
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. L. Skubachevskii, “Initial-boundary value problems for the Vlasov–Poisson equations in a half-space”, Function theory and equations of mathematical physics, Collected papers. In commemoration of the 90th anniversary of Lev Dmitrievich Kudryavtsev's birth, Trudy Mat. Inst. Steklova, 283, MAIK Nauka/Interperiodica, Moscow, 2013, 204–232; Proc. Steklov Inst. Math., 283 (2013), 197–225
Citation in format AMSBIB
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\by A.~L.~Skubachevskii
\paper Initial-boundary value problems for the Vlasov--Poisson equations in a~half-space
\inbook Function theory and equations of mathematical physics
\bookinfo Collected papers. In commemoration of the 90th anniversary of Lev Dmitrievich Kudryavtsev's birth
\serial Trudy Mat. Inst. Steklova
\yr 2013
\vol 283
\pages 204--232
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3512}
\crossref{https://doi.org/10.1134/S0371968513040146}
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2013
\vol 283
\pages 197--225
\crossref{https://doi.org/10.1134/S0081543813080142}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000330983000013}
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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