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arXiv · 1312.3666

Global Existence for the "One and one-half" dimensional relativistic Vlasov-Maxwell-Fokker-Planck system

Stephen Pankavich·Nicholas Michalowski
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Abstract

In a recent paper Calogero and Alcantara derived a Lorentz-invariant Fokker-Planck equation, which corresponds to the evolution of a particle distribution associated with relativistic Brownian Motion. We study the "one and one-half" dimensional version of this problem with nonlinear electromagnetic interactions - the relativistic 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 of classical solutions to the Cauchy problem and a gain in regularity of the distribution function in its momentum argument.

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Stephen Pankavich, Nicholas Michalowski. 2013-12-17. Global Existence for the "One and one-half" dimensional relativistic Vlasov-Maxwell-Fokker-Planck system. https://arxiv.org/abs/1312.3666

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