Sustainability (Switzerland).
MDPI AG.
Vol. 12.
2020.
P. 1-17
A Regularity Criterion for the 3D Density-Dependent MHD Equations
In this paper, we consider the 3D density-dependent magnetohydrodynamic equations with vacuum in the whole space R3, and provide a regularity criterion involving the velocity field in BMO space norm. This work generalizes the regularity criterion of the constant density MHD equations to the density-dependent one. © 2020, Sociedade Brasileira de Matemática.
Authors
Alghamdi A.M.1
,
Gala S.2,
3
,
Ragusa M.A.
3,
4
,
Zhang Z.5
Publisher
Springer
Language
English
Status
Published
Link
Year
2020
Organizations
- 1 Department of Mathematical Science, Faculty of Applied Science, Umm Alqura University, P. O. Box 14035, Makkah, 21955, Saudi Arabia
- 2 Department of Mathematics, Ecole Normale Supérieure de Mostaganem, University of Mostaganem, Box 227, Mostaganem, 27000, Algeria
- 3 Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria, Catania, 6 95125, Italy
- 4 RUDN University, 6 Miklukho, Maklay St, Moscow, 117198, Russian Federation
- 5 School of Mathematics and Computer Science, Gannan Normal University, Ganzhou, 341000, China
Keywords
BMO spaces; Density-dependent MHD equations; Regularity criterion
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Other records
New Journal of Chemistry.
Royal Society of Chemistry.
Vol. 44.
2020.
P. 2146-2154