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arXiv · 2504.18303

The stability of current vortex sheets with transverse magnetic field

Binqiang Xie·Yueyang Feng·Ying Zhang
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Abstract

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.

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Binqiang Xie, Yueyang Feng, Ying Zhang. 2025-04-25. The stability of current vortex sheets with transverse magnetic field. https://arxiv.org/abs/2504.18303

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