数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (5): 1237-1261.doi: 10.1016/S0252-9602(17)30071-1

• 论文 • 上一篇    下一篇

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

杨东成   

  1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
  • 收稿日期:2016-06-07 修回日期:2016-11-22 出版日期:2017-10-25 发布日期:2017-10-25
  • 作者简介:Dongcheng YANG,E-mail:dcmath@sina.com
  • 基金资助:

    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.

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

Dongcheng YANG   

  1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
  • Received:2016-06-07 Revised:2016-11-22 Online:2017-10-25 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.

摘要:

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.

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

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