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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.01008 |
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| _version_ | 1866916649401057280 |
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| author | Sun, Yunhao |
| author_facet | Sun, Yunhao |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01008 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability of a Stationary Solution to a 1-D Model for the MHD Sun, Yunhao Analysis of PDEs 35B35, 35Q35, 76B03 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. |
| title | Stability of a Stationary Solution to a 1-D Model for the MHD |
| topic | Analysis of PDEs 35B35, 35Q35, 76B03 |
| url | https://arxiv.org/abs/2503.01008 |