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The Vlasov-Maxwell-Fokker-Planck system with relativistic transport in the whole space. (English) Zbl 1399.35343
Summary: In this paper, we consider the Vlasov-Maxwell-Fokker-Planck system with relativistic transport in the whole space. The global solutions to this system near the relativistic Maxwellian are constructed and the optimal time decay rates of the global solutions are also obtained by an approach of combining the compensating function and energy method.

MSC:
35Q82 PDEs in connection with statistical mechanics
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
82C40 Kinetic theory of gases in time-dependent statistical mechanics
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