Local well-posedness of the Vlasov-Poisson-Landau system and related models
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909444986634240 |
|---|---|
| author | Flynn, Patrick |
| author_facet | Flynn, Patrick |
| contents | We prove local well-posedness for the Vlasov-Poisson-Landau system and the variant with massless electrons in a 3D periodic spatial domain for large initial data. This is accomplished by propagating weighted anisotropic L2-based Sobolev norms. In the case of the massless electron system, we also carry out an analysis of the Poincare-Poisson system. This is a companion paper to the author's previous work with Yan Guo. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_00777 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Local well-posedness of the Vlasov-Poisson-Landau system and related models Flynn, Patrick Analysis of PDEs Primary: 35Q83, 82C40 We prove local well-posedness for the Vlasov-Poisson-Landau system and the variant with massless electrons in a 3D periodic spatial domain for large initial data. This is accomplished by propagating weighted anisotropic L2-based Sobolev norms. In the case of the massless electron system, we also carry out an analysis of the Poincare-Poisson system. This is a companion paper to the author's previous work with Yan Guo. |
| title | Local well-posedness of the Vlasov-Poisson-Landau system and related models |
| topic | Analysis of PDEs Primary: 35Q83, 82C40 |
| url | https://arxiv.org/abs/2310.00777 |