Logarithmically improved blow-up criterion for smooth solutions to the leray-α-magnetohydrodynamic equations

In this paper, the Cauchy problem for the 3D Leray-α-MHD model is investigated. We obtain the logarithmically improved blow-up criterion of smooth solutions for the Leray-α-MHD model in terms of the magnetic field B only in the framework of homogeneous Besov space with negative index. © 2019, Masarykova Universita. All rights reserved.

Авторы
Omrane I.B. 1 , Gala S. 2, 3 , Kim J.-M. 4 , Ragusa M.A. 5, 6
Journal
Archivum Mathematicum
Издательство
Masarykova Universita
Номер выпуска
1
Язык
English
Страницы
55-68
Статус
Published
Ссылка
Внешняя ссылка
DOI
10.5817/AM2019-1-55
Том
55
Год
2019
Организации
  • 1 Department of Mathematics, Faculty of Science, Al Imam Mohammad Ibn Saud, Islamic University (IMSIU), P. O. Box 90950, Riyadh, 11623, Saudi Arabia
  • 2 Department of Mathematics, ENS of Mostaganem, Box 227, Mostaganem, 27000, Algeria
  • 3 Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria, 6, Catania, 95125, Italy
  • 4 Department of Mathematical Sciences, Seoul National University, Seoul, South Korea
  • 5 RUDN University, 6 Miklukho – Maklay St, Moscow, 117198, Russian Federation
  • 6 Dipartimento di Matematica e Informatica, Università di Catania, Italy
Ключевые слова
Besov space; Magnetohydrodynamic-α model; Regularity criterion
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