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

Abstract

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].

Keywords

• micropolar fluid equations
• regularity criterion
• anisotropic lebesgue spaces
• a priori estimates