Acta mathematica scientia, Series B >
TIME-PERIODIC SOLUTIONS OF THE VLASOV-POISSON-FOKKER-PLANCK SYSTEM
Received date: 2015-03-01
Online published: 2015-07-01
Supported by
RJD was supported by the General Research Fund (Project No. 409913) from RGC of Hong Kong. SQL was supported by grants from the National Natural Science Foundation of China (11101188 and 11271160).
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.
Renjun DUAN , Shuangqian LIU . TIME-PERIODIC SOLUTIONS OF THE VLASOV-POISSON-FOKKER-PLANCK SYSTEM[J]. Acta mathematica scientia, Series B, 2015 , 35(4) : 876 -886 . DOI: 10.1016/S0252-9602(15)30026-6
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