Gevrey well-posedness of the hydrostatic MHD-wave system
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912753099210752 |
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| author | Li, Wei-Xi Xu, Zhan |
| author_facet | Li, Wei-Xi Xu, Zhan |
| contents | This paper investigates the well-posedness of the hydrostatic MHD-wave system. Unlike the standard hydrostatic MHD equations, the tangential magnetic field equation in this system is degenerate hyperbolic rather than parabolic, which leads to substantial mathematical difficulties. Using the boundary decomposition method, we establish local well-posedness in Gevrey $\frac{7}{6}$ space for convex initial data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06405 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gevrey well-posedness of the hydrostatic MHD-wave system Li, Wei-Xi Xu, Zhan Analysis of PDEs This paper investigates the well-posedness of the hydrostatic MHD-wave system. Unlike the standard hydrostatic MHD equations, the tangential magnetic field equation in this system is degenerate hyperbolic rather than parabolic, which leads to substantial mathematical difficulties. Using the boundary decomposition method, we establish local well-posedness in Gevrey $\frac{7}{6}$ space for convex initial data. |
| title | Gevrey well-posedness of the hydrostatic MHD-wave system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.06405 |