Smoothing Estimates of the Vlasov-Poisson-Landau System
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866917583587901440 |
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| author | Deng, Dingqun |
| author_facet | Deng, Dingqun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_04114 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Smoothing Estimates of the Vlasov-Poisson-Landau System Deng, Dingqun Analysis of PDEs 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. |
| title | Smoothing Estimates of the Vlasov-Poisson-Landau System |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2103.04114 |