Smoothing estimates of the Vlasov-Poisson-Landau system
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 112-168 |
| Journal / Publication | Journal of Differential Equations |
| Volume | 301 |
| Online published | 24 Aug 2021 |
| Publication status | Published - 15 Nov 2021 |
Link(s)
Abstract
In this work, we consider the smoothing effect of Vlasov-Poisson-Landau system for both hard and soft potential. In particular, we prove that any classical solutions becomes immediately smooth with respect to all variables. We also give a proof on the global existence to Vlasov-Poisson-Landau system with optimal large time decay. These results give the regularity to Vlasov-Poisson-Landau system. The proof is based on the time-weighted energy method building upon the Pseudodifferential calculus.
Research Area(s)
- Regularity, Smoothing effect, Vlasov-Poisson-Landau system
Citation Format(s)
Smoothing estimates of the Vlasov-Poisson-Landau system. / DENG, Dingqun.
In: Journal of Differential Equations, Vol. 301, 15.11.2021, p. 112-168.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
