A New Regularity Criterion for the Three-Dimensional Incompressible Magnetohydrodynamic Equations in the Besov Spaces
Regularity criteria of the weak solutions to the three-dimensional (3D) incompressible magnetohydrodynamic (MHD) equations are discussed. Our results imply that the scalar pressure field π plays an important role in the regularity problem of MHD equations. We derive that the weak solution u,b is reg...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/4227796 |
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| _version_ | 1832560556687491072 |
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| author | TianLi LI Wen Wang Lei Liu |
| author_facet | TianLi LI Wen Wang Lei Liu |
| author_sort | TianLi LI |
| collection | DOAJ |
| description | Regularity criteria of the weak solutions to the three-dimensional (3D) incompressible magnetohydrodynamic (MHD) equations are discussed. Our results imply that the scalar pressure field π plays an important role in the regularity problem of MHD equations. We derive that the weak solution u,b is regular on 0,T, which is provided for the scalar pressure field π in the Besov spaces. |
| format | Article |
| id | doaj-art-d0c6fe283cca4924a0007fe9e7949778 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d0c6fe283cca4924a0007fe9e79497782025-02-03T01:27:21ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/42277964227796A New Regularity Criterion for the Three-Dimensional Incompressible Magnetohydrodynamic Equations in the Besov SpacesTianLi LI0Wen Wang1Lei Liu2Department of Basic Education, Anhui Vocational and Technical College, Hefei 230011, ChinaSchool of Mathematics and Statistics, Hefei Normal University, Hefei 230601, ChinaAnhui Vocational and Technical College, Hefei 230011, ChinaRegularity criteria of the weak solutions to the three-dimensional (3D) incompressible magnetohydrodynamic (MHD) equations are discussed. Our results imply that the scalar pressure field π plays an important role in the regularity problem of MHD equations. We derive that the weak solution u,b is regular on 0,T, which is provided for the scalar pressure field π in the Besov spaces.http://dx.doi.org/10.1155/2021/4227796 |
| spellingShingle | TianLi LI Wen Wang Lei Liu A New Regularity Criterion for the Three-Dimensional Incompressible Magnetohydrodynamic Equations in the Besov Spaces Journal of Function Spaces |
| title | A New Regularity Criterion for the Three-Dimensional Incompressible Magnetohydrodynamic Equations in the Besov Spaces |
| title_full | A New Regularity Criterion for the Three-Dimensional Incompressible Magnetohydrodynamic Equations in the Besov Spaces |
| title_fullStr | A New Regularity Criterion for the Three-Dimensional Incompressible Magnetohydrodynamic Equations in the Besov Spaces |
| title_full_unstemmed | A New Regularity Criterion for the Three-Dimensional Incompressible Magnetohydrodynamic Equations in the Besov Spaces |
| title_short | A New Regularity Criterion for the Three-Dimensional Incompressible Magnetohydrodynamic Equations in the Besov Spaces |
| title_sort | new regularity criterion for the three dimensional incompressible magnetohydrodynamic equations in the besov spaces |
| url | http://dx.doi.org/10.1155/2021/4227796 |
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