A regularity criterion for local strong solutions to the 3D stokes-mhd equations

We prove a regularity criterion for local strong solutions of the Stokes-MHD equations in terms of the velocity field in Besov space Ḃ0 ∞,∞. © Instytut Matematyczny PAN, 2020.

Authors
Alghamdi A.M. 1 , Gala S. 2, 3 , Ragusa M.A. 3, 4
Journal
Annales Polonici Mathematici
Publisher
Institute of Mathematics. Polish Academy of Sciences
Issue number
3
Language
English
Pages
247-256
State
Published
Link
External link
DOI
10.4064/AP190307-21-9
Volume
124
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, École Normale Supérieure de Mostaganem, University of Mostaganem, Box 227, Mostaganem, 27000, Algeria
  • 3 Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria, 6, Catania, 95125, Italy
  • 4 RUDN University, 6 Miklukho-Maklay St., Moscow, 117198, Russian Federation
Keywords
Besov spaces Ḃ0 ∞,∞; Regularity criterion; Stokes-MHD equations; Strong solutions
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