Well-posedness of the electron MHD with partial resistivity
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915211352473600 |
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| author | Dai, Mimi Babaei, Hassan |
| author_facet | Dai, Mimi Babaei, Hassan |
| contents | Due to the singular nonlinear Hall term, the non-resistive electron magnetohydrodynamics (MHD) is not known to be locally well-posed in general. In this paper we consider the $2\frac12$D electron MHD with either horizontal or vertical resistivity and show local well-posedness in Sobolev spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18149 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Well-posedness of the electron MHD with partial resistivity Dai, Mimi Babaei, Hassan Analysis of PDEs 35Q35, 76B03, 76D09, 76E25, 76W05 Due to the singular nonlinear Hall term, the non-resistive electron magnetohydrodynamics (MHD) is not known to be locally well-posed in general. In this paper we consider the $2\frac12$D electron MHD with either horizontal or vertical resistivity and show local well-posedness in Sobolev spaces. |
| title | Well-posedness of the electron MHD with partial resistivity |
| topic | Analysis of PDEs 35Q35, 76B03, 76D09, 76E25, 76W05 |
| url | https://arxiv.org/abs/2503.18149 |