A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic field
This work focuses on the 3D incompressible magnetohydrodynamic (MHD) equations with mixed pressure-velocity-magnetic field in view of Lorentz spaces. Our main result shows the weak solution is regular, provided that π e−|x| 2 + |u| + |b| θ ∈ L p (0, T; L q,∞), where 2 p + 3 q = 2 − θ...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sapienza Università Editrice
2022-04-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2022(3)/165-171.pdf |
| _version_ | 1818210901085388800 |
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| author | Ahmad Mohammed Alghamdi Sadek Gala Maria Alessandra Ragusa |
| author_facet | Ahmad Mohammed Alghamdi Sadek Gala Maria Alessandra Ragusa |
| author_sort | Ahmad Mohammed Alghamdi |
| collection | DOAJ |
| description | This work focuses on the 3D incompressible magnetohydrodynamic (MHD) equations with mixed pressure-velocity-magnetic field in view of Lorentz spaces. Our main result
shows the weak solution is regular, provided that
π
e−|x|
2 + |u| + |b|
θ
∈ L
p
(0, T; L
q,∞), where
2
p
+
3
q
= 2 − θ and 0 ≤ θ ≤ 1. |
| first_indexed | 2024-12-12T05:23:58Z |
| format | Article |
| id | doaj.art-f9e2eaa281c74789a07377c303e35a4f |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-12-12T05:23:58Z |
| publishDate | 2022-04-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-f9e2eaa281c74789a07377c303e35a4f2022-12-22T00:36:33ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502022-04-01433-4165171A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic fieldAhmad Mohammed Alghamdi0Sadek Gala1Maria Alessandra Ragusa2Department of Mathematical Science , Faculty of Applied Sciences, Umm Al–Qura University, P. O. Box 14035, Makkah 21955, Saudi ArabiaDepartment of Sciences Exactes, ENS of Mostaganem, University of Mostaganem, P.O.Box 227, Mostaganem 27000, AlgeriaDipartimento di Matematica e Informatica, Università di Catania,This work focuses on the 3D incompressible magnetohydrodynamic (MHD) equations with mixed pressure-velocity-magnetic field in view of Lorentz spaces. Our main result shows the weak solution is regular, provided that π e−|x| 2 + |u| + |b| θ ∈ L p (0, T; L q,∞), where 2 p + 3 q = 2 − θ and 0 ≤ θ ≤ 1.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2022(3)/165-171.pdfmhd equationsregularity criteriona priori estimates |
| spellingShingle | Ahmad Mohammed Alghamdi Sadek Gala Maria Alessandra Ragusa A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic field Rendiconti di Matematica e delle Sue Applicazioni mhd equations regularity criterion a priori estimates |
| title | A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic field |
| title_full | A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic field |
| title_fullStr | A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic field |
| title_full_unstemmed | A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic field |
| title_short | A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic field |
| title_sort | regularity criterion of 3d incompressible mhd system with mixed pressure velocity magnetic field |
| topic | mhd equations regularity criterion a priori estimates |
| url | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2022(3)/165-171.pdf |
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