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
Journal
Bulletin of the Brazilian Mathematical Society
Publisher
Springer
Language
English
State
Published
Link
External link
DOI
10.1007/S00574-020-00199-5
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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