Stability of a Stationary Solution to a 1-D Model for the MHD
Analysis of PDEs
2025-03-12 v2
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.
Keywords
Cite
@article{arxiv.2503.01008,
title = {Stability of a Stationary Solution to a 1-D Model for the MHD},
author = {Yunhao Sun},
journal= {arXiv preprint arXiv:2503.01008},
year = {2025}
}