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.

Authors
Alghamdi A.M.1 , Gala S.2, 3 , Kim J.-M.4 , Ragusa M.A. 3, 5
Journal
AIMS MATHEMATICS
Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
Number of issue
1
Language
English
Pages
359-375
Status
Published
Link
External link
DOI
10.3934/math.2020024
Volume
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, 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
Keywords
A priori estimates; Anisotropic Lebesgue spaces; Micropolar fluid equations; Regularity criterion
Date of creation
10.02.2020
Date of change
10.02.2020
Short link
https://repository.rudn.ru/en/records/article/record/56599/
Share

Other records