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Russian Mathematical Surveys, 2014, Volume 69, Issue 2, Pages 291–330
DOI: https://doi.org/10.1070/RM2014v069n02ABEH004889 (Mi rm9579) 		 
This article is cited in 38 scientific papers (total in 38 papers)

Vlasov–Poisson equations for a two-component plasma in a homogeneous magnetic field

A. L. Skubachevskii

Peoples Friendship University of Russia, Moscow
English version PDF (1296 kB) Citations (38)
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DOI: https://doi.org/10.1070/RM2014v069n02ABEH004889
Abstract: This paper is concerned with the first mixed problem for the Vlasov–Poisson equations in an infinite cylinder, a problem describing\linebreak the evolution of the density distribution of ions and electrons in a high temperature plasma under an external magnetic field. A stationary solution is constructed for which the charged-particle density distributions are supported in a strictly interior cylinder. A classical solution for which the supports of the charged-particle density distributions are at a distance from the cylindrical boundary is shown to exist and to be unique in some neighbourhood of the stationary solution.
Bibliography: 127 titles.
Keywords: Vlasov–Poisson equations, mixed problem, classical solutions, homogeneous magnetic field.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-4479.2014.1
This research was carried out with the support of the Programme for the Support of Leading Scientific Schools (grant no. НШ-4479.2014.1).
Received: 27.10.2013
Russian version:
Uspekhi Matematicheskikh Nauk, 2014, Volume 69, Issue 2(416), Pages 107–148
DOI: https://doi.org/10.4213/rm9579
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: Primary 35Q83; Secondary 82D10, 76X05
Language: English
Original paper language: Russian
Citation: A. L. Skubachevskii, “Vlasov–Poisson equations for a two-component plasma in a homogeneous magnetic field”, Uspekhi Mat. Nauk, 69:2(416) (2014), 107–148; Russian Math. Surveys, 69:2 (2014), 291–330
Citation in format AMSBIB
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    • This publication is cited in the following 38 articles:
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    References:126
    First page:72
     
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