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The Vlasov-Maxwell-Boltzmann system in the whole space. (English) Zbl 1129.35022
Author’s abstract: The Vlasov-Maxwell-Boltzmann system is one of the most fundamental models to describe the dynamics of dilute charged particles, where particles interact via collisions and through their self-consistent electromagnetic field. We prove existence of global in time classical solutions to the Cauchy problem near Maxwellians.

35F20General theory of first order nonlinear PDE
82D10Plasmas (statistical mechanics)
35Q60PDEs in connection with optics and electromagnetic theory
76P05Rarefied gas flows, Boltzmann equation
35A05General existence and uniqueness theorems (PDE) (MSC2000)
Full Text: DOI arXiv
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