A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces
We are concerned with the regularity criterion for weak solutions to the 3D incompressible MHD equations in this paper. We show that if some partial derivatives of the velocity components and magnetic components belong to the multiplier spaces, then the solution actually is smooth on (0,T).
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/3795172 |
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| _version_ | 1841524706057912320 |
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| author | Chunhong Tian |
| author_facet | Chunhong Tian |
| author_sort | Chunhong Tian |
| collection | DOAJ |
| description | We are concerned with the regularity criterion for weak solutions to the 3D incompressible MHD equations in this paper. We show that if some partial derivatives of the velocity components and magnetic components belong to the multiplier spaces, then the solution actually is smooth on (0,T). |
| format | Article |
| id | doaj-art-0440ead4466942a988452ac1b311c445 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-0440ead4466942a988452ac1b311c4452025-02-03T05:47:31ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/37951723795172A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier SpacesChunhong Tian0Nanhang Jincheng College, Nanjing 211156, ChinaWe are concerned with the regularity criterion for weak solutions to the 3D incompressible MHD equations in this paper. We show that if some partial derivatives of the velocity components and magnetic components belong to the multiplier spaces, then the solution actually is smooth on (0,T).http://dx.doi.org/10.1155/2017/3795172 |
| spellingShingle | Chunhong Tian A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces Journal of Function Spaces |
| title | A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces |
| title_full | A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces |
| title_fullStr | A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces |
| title_full_unstemmed | A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces |
| title_short | A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces |
| title_sort | regularity criterion for the 3d incompressible magnetohydrodynamics equations in the multiplier spaces |
| url | http://dx.doi.org/10.1155/2017/3795172 |
| work_keys_str_mv | AT chunhongtian aregularitycriterionforthe3dincompressiblemagnetohydrodynamicsequationsinthemultiplierspaces AT chunhongtian regularitycriterionforthe3dincompressiblemagnetohydrodynamicsequationsinthemultiplierspaces |