paper

Global Classical Solutions of the one and one-half dimensional Vlasov-Maxwell Fokker-Planck System

arXiv:1502.01777 · doi:10.4310/CMS.2016.v14.n1.a8

Abstract

We study the "one and one-half" dimensional Vlasov-Maxwell-Fokker-Planck system and obtain the first results concerning well-posedness of solutions. Specifically, we prove the global-in-time existence and uniqueness in the large of classical solutions to the Cauchy problem and a gain in regularity of the distribution function in its momentum argument.

28 pages. arXiv admin note: text overlap with arXiv:1312.3666

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