An Improved Regularity Criterion for the 3D Magnetic Bénard System in Besov Spaces
This article notably targets the more general (extended) function spaces by investigating the regularity of the weak solutions or turbulent solutions to the Cauchy problem of the 3D magnetic Bénard system by converting it into mathematical symmetric form, in the absence of thermal diffusion, in term...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/9/1918 |
| _version_ | 1797481956339875840 |
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| author | Muhammad Naqeeb Amjad Hussain Ahmad M. Alghamdi |
| author_facet | Muhammad Naqeeb Amjad Hussain Ahmad M. Alghamdi |
| author_sort | Muhammad Naqeeb |
| collection | DOAJ |
| description | This article notably targets the more general (extended) function spaces by investigating the regularity of the weak solutions or turbulent solutions to the Cauchy problem of the 3D magnetic Bénard system by converting it into mathematical symmetric form, in the absence of thermal diffusion, in terms of pressure. In that regard, we successfully improved the results by obtaining sufficient integrable regularity conditions for the pressure and gradient pressure in the homogeneous Besov spaces. |
| first_indexed | 2024-03-09T22:21:44Z |
| format | Article |
| id | doaj.art-fbb160e6f3b34f06b1afc87547d91cbd |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T22:21:44Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-fbb160e6f3b34f06b1afc87547d91cbd2023-11-23T19:13:12ZengMDPI AGSymmetry2073-89942022-09-01149191810.3390/sym14091918An Improved Regularity Criterion for the 3D Magnetic Bénard System in Besov SpacesMuhammad Naqeeb0Amjad Hussain1Ahmad M. Alghamdi2Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, PakistanDepartment of Mathematics, Quaid-I-Azam University, Islamabad 45320, PakistanDepartment of Mathematical Sciences, Faculty of Applied Sciences, Umm Al-Qura University, P.O. Box 14035, Makkah 21955, Saudi ArabiaThis article notably targets the more general (extended) function spaces by investigating the regularity of the weak solutions or turbulent solutions to the Cauchy problem of the 3D magnetic Bénard system by converting it into mathematical symmetric form, in the absence of thermal diffusion, in terms of pressure. In that regard, we successfully improved the results by obtaining sufficient integrable regularity conditions for the pressure and gradient pressure in the homogeneous Besov spaces.https://www.mdpi.com/2073-8994/14/9/1918integrable regularity conditions3D magnetic Bénard system without thermal diffusionimproved regularity criteriahomogenous Besov spacesweak solutionspressure |
| spellingShingle | Muhammad Naqeeb Amjad Hussain Ahmad M. Alghamdi An Improved Regularity Criterion for the 3D Magnetic Bénard System in Besov Spaces Symmetry integrable regularity conditions 3D magnetic Bénard system without thermal diffusion improved regularity criteria homogenous Besov spaces weak solutions pressure |
| title | An Improved Regularity Criterion for the 3D Magnetic Bénard System in Besov Spaces |
| title_full | An Improved Regularity Criterion for the 3D Magnetic Bénard System in Besov Spaces |
| title_fullStr | An Improved Regularity Criterion for the 3D Magnetic Bénard System in Besov Spaces |
| title_full_unstemmed | An Improved Regularity Criterion for the 3D Magnetic Bénard System in Besov Spaces |
| title_short | An Improved Regularity Criterion for the 3D Magnetic Bénard System in Besov Spaces |
| title_sort | improved regularity criterion for the 3d magnetic benard system in besov spaces |
| topic | integrable regularity conditions 3D magnetic Bénard system without thermal diffusion improved regularity criteria homogenous Besov spaces weak solutions pressure |
| url | https://www.mdpi.com/2073-8994/14/9/1918 |
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