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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
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.
Received: 27.10.2013
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
Linking options:
https://www.mathnet.ru/eng/rm9579https://doi.org/10.1070/RM2014v069n02ABEH004889 https://www.mathnet.ru/eng/rm/v69/i2/p107
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Abstract page: | 1486 | Russian version PDF: | 729 | English version PDF: | 83 | References: | 126 | First page: | 72 |
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