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arXiv · 2503.01008

Stability of a Stationary Solution to a 1-D Model for the MHD

Yunhao Sun
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Abstract

We investigate the stability of a one-dimensional magnetohydrodynamics model (1-D MHD) with mixed vortex stretching effects, introduced by Dai, Vyas, and Zhang. Using techniques similar to those developed by Lei, Liu, and Ren for the De Gregorio equation, we establish global-in-time well-posedness for initial data near a stationary point. Our result is analogous to the exponential stability of the ground state of the De Gregorio equation.

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Yunhao Sun. 2025-03-02. Stability of a Stationary Solution to a 1-D Model for the MHD. https://doi.org/10.3934/dcds.2025031

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