Stability for the 2D incompressible MHD equations with only magnetic diffusion
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911777224130560 |
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| author | Zhai, Xiaoping |
| author_facet | Zhai, Xiaoping |
| contents | This paper presents a global stability result on perturbations near a background magnetic field to the 2D incompressible magnetohydrodynamic (MHD) equations with only magnetic diffusion on the periodic domain. The stability result provides a significant example for the stabilizing effects of the magnetic field on electrically conducting fluids. In addition, we obtain an explicit large-time decay rate of the solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_12197 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stability for the 2D incompressible MHD equations with only magnetic diffusion Zhai, Xiaoping Analysis of PDEs 35Q35, 76N10, 35B40 This paper presents a global stability result on perturbations near a background magnetic field to the 2D incompressible magnetohydrodynamic (MHD) equations with only magnetic diffusion on the periodic domain. The stability result provides a significant example for the stabilizing effects of the magnetic field on electrically conducting fluids. In addition, we obtain an explicit large-time decay rate of the solutions. |
| title | Stability for the 2D incompressible MHD equations with only magnetic diffusion |
| topic | Analysis of PDEs 35Q35, 76N10, 35B40 |
| url | https://arxiv.org/abs/2307.12197 |