Global regularity of the 2D magnetic micropolar fluid flows with mixed partial viscosity

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Abstract

In this paper, we study the Cauchy problem for the 2D anisotropic magneto-micropolar fluid flows with mixed partial viscosity. We established the global regularity of the 2D anisotropic magneto-micropolar fluid flows with vertical kinematic viscosity, horizontal magnetic diffusion and horizontal vortex viscosity.

Keywords

Anisotropic magneto-micropolar fluid
Global regularity
Cauchy problem

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This work is supported by Sichuan Youth Science Technology Foundation (2014JQ0003).