THE VLASOV-MAXWELL-FOKKER-PLANCK SYSTEM WITH RELATIVISTIC TRANSPORT IN THE WHOLE SPACE

doi:10.1016/S0252-9602(17)30071-1

Abstract

Abstract:

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 rate of global solutions are also obtained by an approach by combining the compensating function and energy method.

Key words: relativistic Vlasov-Maxwell-Fokker-Planck system, compensating function, global solutions, optimal time decay rate

Dongcheng YANG. THE VLASOV-MAXWELL-FOKKER-PLANCK SYSTEM WITH RELATIVISTIC TRANSPORT IN THE WHOLE SPACE[J].Acta mathematica scientia,Series B, 2017, 37(5): 1237-1261.

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