Smoothing Estimates of the Vlasov-Poisson-Landau System
Analysis of PDEs
2024-02-08 v1
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 pseudo-differential calculus.
Keywords
Cite
@article{arxiv.2103.04114,
title = {Smoothing Estimates of the Vlasov-Poisson-Landau System},
author = {Dingqun Deng},
journal= {arXiv preprint arXiv:2103.04114},
year = {2024}
}