Time-periodic solutions of the Vlasov-Poisson-Fokker-Planck system

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Original languageEnglish
Pages (from-to)876-886
Journal / PublicationActa Mathematica Scientia
Issue number4
Publication statusPublished - 1 Jul 2015
Externally publishedYes


In this note it is shown that the Vlasov-Poisson-Fokker-Planck system in the three-dimensional whole space driven by a time-periodic background profile near a positive constant state admits a time-periodic small-amplitude solution with the same period. The proof follows by the Serrin's method on the basis of the exponential time-decay property of the linearized system in the case of the constant background profile.

Research Area(s)

  • Energy method, Exponential time-decay, Time-periodic solution, Vlasov-Poisson-Fokker-Planck system

Bibliographic Note

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