Time-periodic solutions of the Vlasov-Poisson-Fokker-Planck system
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 876-886 |
| Journal / Publication | Acta Mathematica Scientia |
| Volume | 35 |
| Issue number | 4 |
| Publication status | Published - 1 Jul 2015 |
| Externally published | Yes |
Link(s)
Abstract
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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Citation Format(s)
Time-periodic solutions of the Vlasov-Poisson-Fokker-Planck system. / Duan, Renjun; Liu, Shuangqian.
In: Acta Mathematica Scientia, Vol. 35, No. 4, 01.07.2015, p. 876-886.
In: Acta Mathematica Scientia, Vol. 35, No. 4, 01.07.2015, p. 876-886.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
