The stability of current vortex sheets with transverse magnetic field
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913807560867840 |
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| author | Xie, Binqiang Feng, Yueyang Zhang, Ying |
| author_facet | Xie, Binqiang Feng, Yueyang Zhang, Ying |
| contents | Compared to the results in \cite{Shivamoggi}, using the normal mode method, we have rigorously confirmed that a transverse magnetic field reduces the stability of the system. Specifically, a larger velocity is required for stability in the presence of a magnetic field than in its absence. More precisely, when the magnitude of the magneto-acoustic Mach number $M_{B}:=\frac{\dot{v}_1^{+}}{\bar{C}_{B}}>\sqrt{2}$, we proved the well-posedness of the current vortex sheet problem for compressible MHD flows with a transverse magnetic field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18303 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The stability of current vortex sheets with transverse magnetic field Xie, Binqiang Feng, Yueyang Zhang, Ying Analysis of PDEs Compared to the results in \cite{Shivamoggi}, using the normal mode method, we have rigorously confirmed that a transverse magnetic field reduces the stability of the system. Specifically, a larger velocity is required for stability in the presence of a magnetic field than in its absence. More precisely, when the magnitude of the magneto-acoustic Mach number $M_{B}:=\frac{\dot{v}_1^{+}}{\bar{C}_{B}}>\sqrt{2}$, we proved the well-posedness of the current vortex sheet problem for compressible MHD flows with a transverse magnetic field. |
| title | The stability of current vortex sheets with transverse magnetic field |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2504.18303 |