Global Well-posedness for 2D non-resistive MHD equations in half-space
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914628593778688 |
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| author | Zhang, Zhaoyun Zhao, Xiaopeng |
| author_facet | Zhang, Zhaoyun Zhao, Xiaopeng |
| contents | This paper focuses on the initial boundary value problem of two-dimensional non-resistive MHD equations in a half space. We prove that the MHD equations have a unique global strong solution around the equilibrium state $(0,\bf{e_1})$ for Dirichlet boundary condition of velocity and modified Neumann boundary condition of magnetic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01704 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global Well-posedness for 2D non-resistive MHD equations in half-space Zhang, Zhaoyun Zhao, Xiaopeng Analysis of PDEs This paper focuses on the initial boundary value problem of two-dimensional non-resistive MHD equations in a half space. We prove that the MHD equations have a unique global strong solution around the equilibrium state $(0,\bf{e_1})$ for Dirichlet boundary condition of velocity and modified Neumann boundary condition of magnetic. |
| title | Global Well-posedness for 2D non-resistive MHD equations in half-space |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.01704 |