Asymptotic stability of 3D relativistic collisionless plasma states in ambient magnetic fields with a boundary
| Autor: | Jin, Jiaxin, Kim, Chanwoo |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | Motivated by the stellar wind ejected from the upper atmosphere (Corona) of a star, we explore a boundary problem of the two-species nonlinear relativistic Vlasov-Poisson systems in the 3D half space in the presence of a constant vertical magnetic field and strong background gravity. We allow species to have different mass and charge (as proton and electron, for example). As the main result, we construct stationary solutions and establish their nonlinear dynamical asymptotic stability in time and space. Comment: In this submission version, we added a result of the asymptotic behavior of steady solution as $x_\parallel \rightarrow \infty$, and a result of partially specular boundary conditions to the previous draft (version 1). Submitted. 123 pages |
| Databáze: | arXiv |
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