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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.09501 |
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| _version_ | 1866916498876923904 |
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| author | You, Xiaoguang |
| author_facet | You, Xiaoguang |
| contents | In this paper, we consider the 2D incompressible MHD equations with horizontal dissipation and horizontal magnetic diffusion. We establish local existence and uniqueness of solutions for initial data in $H^s$($s\geq 1$). The proof relays heavily on new estimates of the nonlinear terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_09501 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Local existence and uniqueness of solutions for the 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion You, Xiaoguang Analysis of PDEs In this paper, we consider the 2D incompressible MHD equations with horizontal dissipation and horizontal magnetic diffusion. We establish local existence and uniqueness of solutions for initial data in $H^s$($s\geq 1$). The proof relays heavily on new estimates of the nonlinear terms. |
| title | Local existence and uniqueness of solutions for the 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2311.09501 |