The Local-well-posedness of the relativistic Vlasov-Maxwell-Landau system with the specular reflection boundary condition
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909225652846592 |
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| author | Dong, Hongjie Guo, Yan Ouyang, Zhimeng Yastrzhembskiy, Timur |
| author_facet | Dong, Hongjie Guo, Yan Ouyang, Zhimeng Yastrzhembskiy, Timur |
| contents | We prove the local-in-time well-posedness of the relativistic Vlasov-Maxwell-Landau system in a bounded domain $Ω$ with the specular reflection condition. Our result covers the case when $Ω$ is a non-convex domain, e.g., solid torus. To the best of our knowledge, this is the first local well-posedness result for a nonlinear kinetic model with a self-consistent magnetic effect in a three-dimensional $\textbf{bounded}$ domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_07192 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Local-well-posedness of the relativistic Vlasov-Maxwell-Landau system with the specular reflection boundary condition Dong, Hongjie Guo, Yan Ouyang, Zhimeng Yastrzhembskiy, Timur Analysis of PDEs 35Q83, 35Q84, 35Q61, 35K70, 35H10, 34A12 We prove the local-in-time well-posedness of the relativistic Vlasov-Maxwell-Landau system in a bounded domain $Ω$ with the specular reflection condition. Our result covers the case when $Ω$ is a non-convex domain, e.g., solid torus. To the best of our knowledge, this is the first local well-posedness result for a nonlinear kinetic model with a self-consistent magnetic effect in a three-dimensional $\textbf{bounded}$ domain. |
| title | The Local-well-posedness of the relativistic Vlasov-Maxwell-Landau system with the specular reflection boundary condition |
| topic | Analysis of PDEs 35Q83, 35Q84, 35Q61, 35K70, 35H10, 34A12 |
| url | https://arxiv.org/abs/2310.07192 |