Articles

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

  • Dongcheng YANG
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  • School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Received date: 2016-06-07

  Revised date: 2016-11-22

  Online published: 2017-10-25

Supported by

The research of the author was supported partially by the NNSFC Grant (11371151) and the Scientific Research Foundation of Graduate School of South China Normal University.

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(17)30071-1

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