Global Well-Posedness for the d-Dimensional Magnetic Bénard Problem without Thermal Diffusion
This paper focuses on the global existence of strong solutions to the magnetic Bénard problem with fractional dissipation and without thermal diffusion in ℝd with d≥3. By using the energy method and the regularization of generalized heat operators, we obtain the global regularity for this model unde...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/9943271 |
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| _version_ | 1850168004661215232 |
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| author | Yinhong Cao |
| author_facet | Yinhong Cao |
| author_sort | Yinhong Cao |
| collection | DOAJ |
| description | This paper focuses on the global existence of strong solutions to the magnetic Bénard problem with fractional dissipation and without thermal diffusion in ℝd with d≥3. By using the energy method and the regularization of generalized heat operators, we obtain the global regularity for this model under minimal amount dissipation. |
| format | Article |
| id | doaj-art-e6b168dcfeba45869c6b62b59382a862 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-e6b168dcfeba45869c6b62b59382a8622025-08-20T02:21:04ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/99432719943271Global Well-Posedness for the d-Dimensional Magnetic Bénard Problem without Thermal DiffusionYinhong Cao0School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, Henan 454100, ChinaThis paper focuses on the global existence of strong solutions to the magnetic Bénard problem with fractional dissipation and without thermal diffusion in ℝd with d≥3. By using the energy method and the regularization of generalized heat operators, we obtain the global regularity for this model under minimal amount dissipation.http://dx.doi.org/10.1155/2021/9943271 |
| spellingShingle | Yinhong Cao Global Well-Posedness for the d-Dimensional Magnetic Bénard Problem without Thermal Diffusion Complexity |
| title | Global Well-Posedness for the d-Dimensional Magnetic Bénard Problem without Thermal Diffusion |
| title_full | Global Well-Posedness for the d-Dimensional Magnetic Bénard Problem without Thermal Diffusion |
| title_fullStr | Global Well-Posedness for the d-Dimensional Magnetic Bénard Problem without Thermal Diffusion |
| title_full_unstemmed | Global Well-Posedness for the d-Dimensional Magnetic Bénard Problem without Thermal Diffusion |
| title_short | Global Well-Posedness for the d-Dimensional Magnetic Bénard Problem without Thermal Diffusion |
| title_sort | global well posedness for the d dimensional magnetic benard problem without thermal diffusion |
| url | http://dx.doi.org/10.1155/2021/9943271 |
| work_keys_str_mv | AT yinhongcao globalwellposednessfortheddimensionalmagneticbenardproblemwithoutthermaldiffusion |