A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations
© 2017, Springer International Publishing AG. In this paper, we are concerned with the regularity criterion for weak solutions to the 3D incompressible MHD equations. We show that if any two groups functions of (? 1 u 1 , ? 1 b 1 ) , (? 2 u 2 , ? 2 b 2 ) and (? 3 u 3 , ? 3 b 3 ) belong to the space...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/63325 |
| _version_ | 1848761057628127232 |
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| author | Xu, F. Li, X. Cui, Y. Wu, Yong Hong |
| author_facet | Xu, F. Li, X. Cui, Y. Wu, Yong Hong |
| author_sort | Xu, F. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2017, Springer International Publishing AG. In this paper, we are concerned with the regularity criterion for weak solutions to the 3D incompressible MHD equations. We show that if any two groups functions of (? 1 u 1 , ? 1 b 1 ) , (? 2 u 2 , ? 2 b 2 ) and (? 3 u 3 , ? 3 b 3 ) belong to the space L?([0,T);Lr(R3)),2?+3r=2,32 < r=8, then the solution (u, b) to the MHD equations actually is smooth on (0, T). |
| first_indexed | 2025-11-14T10:25:37Z |
| format | Journal Article |
| id | curtin-20.500.11937-63325 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:25:37Z |
| publishDate | 2017 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-633252018-02-06T06:23:29Z A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations Xu, F. Li, X. Cui, Y. Wu, Yong Hong © 2017, Springer International Publishing AG. In this paper, we are concerned with the regularity criterion for weak solutions to the 3D incompressible MHD equations. We show that if any two groups functions of (? 1 u 1 , ? 1 b 1 ) , (? 2 u 2 , ? 2 b 2 ) and (? 3 u 3 , ? 3 b 3 ) belong to the space L?([0,T);Lr(R3)),2?+3r=2,32 < r=8, then the solution (u, b) to the MHD equations actually is smooth on (0, T). 2017 Journal Article http://hdl.handle.net/20.500.11937/63325 10.1007/s00033-017-0874-9 restricted |
| spellingShingle | Xu, F. Li, X. Cui, Y. Wu, Yong Hong A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations |
| title | A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations |
| title_full | A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations |
| title_fullStr | A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations |
| title_full_unstemmed | A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations |
| title_short | A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations |
| title_sort | scaling invariant regularity criterion for the 3d incompressible magneto-hydrodynamics equations |
| url | http://hdl.handle.net/20.500.11937/63325 |