대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제55권5호
  • /
  • Pages.1599-1619
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  • 2018
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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ON CLASSICAL SOLUTIONS AND THE CLASSICAL LIMIT OF THE VLASOV-DARWIN SYSTEM

  • Li, Xiuting (School of Automatica Huazhong University of Science and Technology) ;
  • Sun, Jiamu (School of Automatica Huazhong University of Science and Technology)
  • 투고 : 2017.10.30
  • 심사 : 2018.08.16
  • 발행 : 2018.09.30
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초록

In this paper we study the initial value problem of the non-relativistic Vlasov-Darwin system with generalized variables (VDG). We first prove local existence and uniqueness of a nonnegative classical solution to VDG in three space variables, and establish the blow-up criterion. Then we show that it converges to the well-known Vlasov-Poisson system when the light velocity c tends to infinity in a pointwise sense.

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과제정보

연구 과제 주관 기관 : China Postdoctoral Science Foundation

참고문헌

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