Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.19268 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914350521909248 |
|---|---|
| author | Zhang, Ruixi |
| author_facet | Zhang, Ruixi |
| contents | In this paper we consider a free boundary problem of low Mach number magnetohydrodynamic flow in spatial dimension n $\geq$ 2. A priori estimates of the second fundamental form and various flow quantities in Sobolev norms are obtained by adopting the geometrical point of view introduced by Christodoulou and Lindblad [3]. Moreover, a blow up criterion is derived by using the method of Beale, Kato and Majda [2]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19268 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Free boundary problem of low Mach number magnetohydrodynamic flows Zhang, Ruixi Analysis of PDEs In this paper we consider a free boundary problem of low Mach number magnetohydrodynamic flow in spatial dimension n $\geq$ 2. A priori estimates of the second fundamental form and various flow quantities in Sobolev norms are obtained by adopting the geometrical point of view introduced by Christodoulou and Lindblad [3]. Moreover, a blow up criterion is derived by using the method of Beale, Kato and Majda [2]. |
| title | Free boundary problem of low Mach number magnetohydrodynamic flows |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2507.19268 |