Existence, Uniqueness, and Smoothing for Generalized EMHD
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912972008325120 |
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| author | Wu, Chao |
| author_facet | Wu, Chao |
| contents | We study the Cauchy problem for generalized electron magnetohydrodynamics (EMHD). We establish the local existence and uniqueness of solutions in critical Sobolev spaces, as well as global existence and uniqueness for small initial data. In addition, we prove an instantaneous smoothing effect for the corresponding solutions. Finally, we derive time decay rates for the global solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15986 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Existence, Uniqueness, and Smoothing for Generalized EMHD Wu, Chao Analysis of PDEs We study the Cauchy problem for generalized electron magnetohydrodynamics (EMHD). We establish the local existence and uniqueness of solutions in critical Sobolev spaces, as well as global existence and uniqueness for small initial data. In addition, we prove an instantaneous smoothing effect for the corresponding solutions. Finally, we derive time decay rates for the global solutions. |
| title | Existence, Uniqueness, and Smoothing for Generalized EMHD |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.15986 |