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The anisotropic integrability logarithmic regularity criterion to the 3D micropolar fluid equations
Journal article   Open access  Peer reviewed

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

Ahmad Mohammad Alghamdi, Sadek Gala, Jae-Myoung Kim, Maria Alessandra Ragusa and 1 Department of Mathematical Science, Faculty of Applied Science, Umm Alqura University, P. O. Box 14035, Makkah 21955, Saudi Arabia
AIMS mathematics, Vol.5(1), pp.359-375
01/01/2020
DOI: https://doi.org/10.3934/math.2020024

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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].
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https://doi.org/10.3934/math.2020024View
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