The anisotropic integrability logarithmic regularity criterion to the 3D micropolar fluid equations

The aim of this paper is to establish the regularity criterion of weak solutions to the 3D micropolar fluid equations by one directional derivative of the pressure in anisotropic Lebesgue spaces. We improve the regularity criterion for weak solutions previously given by Jia, Zhang and Dong in [21]. © 2020 the Author(s), licensee AIMS Press.

Авторы
Alghamdi A.M.1 , Gala S.2, 3 , Kim J.-M.4 , Ragusa M.A. 3, 5
Журнал
AIMS MATHEMATICS
Издательство
AMER INST MATHEMATICAL SCIENCES-AIMS
Номер выпуска
1
Язык
Английский
Страницы
359-375
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.3934/MATH.2020024
Том
5
Год
2020
Организации
  • 1 Department of Mathematical Science, Faculty of Applied Science, Umm Alqura University, P. O. Box 14035, Makkah, 21955, 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 Education, Andong National University, Andong, Gyeongsangbuk-do 36729, South Korea
  • 5 RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
Ключевые слова
A priori estimates; Anisotropic Lebesgue spaces; Micropolar fluid equations; Regularity criterion
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