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Bibliographic Details
Main Author: Sun, Yunhao
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.01008
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Table of Contents:
  • 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.