New regularity criteria for the 3D hall-MHD equations

We prove some regularity criteria for smooth solutions of the three-dimensional incompressible Hall-magnetohydrodynamic equations involving only two components of the velocity and magnetic fields. © Instytut Matematyczny PAN, 2018.

Авторы
Alghamdi A.M.1 , Gala S.2, 3 , Ragusa M.A. 3, 4
Издательство
Institute of Mathematics. Polish Academy of Sciences
Номер выпуска
1
Язык
Английский
Страницы
7-20
Статус
Опубликовано
Том
121
Год
2018
Организации
  • 1 Department of Mathematical Science, Faculty of Applied Science, Umm Alqura University, P. O. Box 14035, Makkah, 21955, Saudi Arabia
  • 2 Département de sciences exactes École normale supérieure Mostaganem Kharouba, 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
Ключевые слова
BMO space; Hall-MHD equations; Morrey space; Regularity criterion
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