A single-component regularity criterion and Inviscid limit of axially symmetric MHD-Boussinesq system
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916660278984704 |
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| author | Xing, Zhaojun |
| author_facet | Xing, Zhaojun |
| contents | In this paper, we first give a critical BKM-type blow-up criterion that only involves the horizontal swirl component of the velocity for the inviscid axially symmetric MHD-Boussinesq system. Moreover, we consider the inviscid limit of the viscous MHD-Boussinesq system, and the convergence rate for the viscosity coefficient tending to zero is obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_12411 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A single-component regularity criterion and Inviscid limit of axially symmetric MHD-Boussinesq system Xing, Zhaojun Analysis of PDEs In this paper, we first give a critical BKM-type blow-up criterion that only involves the horizontal swirl component of the velocity for the inviscid axially symmetric MHD-Boussinesq system. Moreover, we consider the inviscid limit of the viscous MHD-Boussinesq system, and the convergence rate for the viscosity coefficient tending to zero is obtained. |
| title | A single-component regularity criterion and Inviscid limit of axially symmetric MHD-Boussinesq system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.12411 |