Geodesic
Vlasov--Poisson equations for a two-component plasma in a~homogeneous magnetic field
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 69 (2014) no. 2, pp. 291-330

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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: mixed problem, classical solutions, homogeneous magnetic field.
Mots-clés : Vlasov–Poisson equations 
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     title = {Vlasov--Poisson equations for a two-component plasma in a~homogeneous magnetic field},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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A. L. Skubachevskii. Vlasov--Poisson equations for a two-component plasma in a~homogeneous magnetic field. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 69 (2014) no. 2, pp. 291-330. http://geodesic.mathdoc.fr/item/RM_2014_69_2_a3/