Open Access Research

Blow-up criterion of smooth solutions for magneto-micropolar fluid equations with partial viscosity

Yu-Zhu Wang*, Yifang Li and Yin-Xia Wang

Author Affiliations

School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, China

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Boundary Value Problems 2011, 2011:11 doi:10.1186/1687-2770-2011-11

Published: 15 August 2011

Abstract

In this paper, we investigate the Cauchy problem for the incompressible magneto-micropolar fluid equations with partial viscosity in ℝn(n = 2, 3). We obtain a Beale-Kato-Majda type blow-up criterion of smooth solutions.

MSC (2010): 76D03; 35Q35.

Keywords:
magneto-micropolar fluid equations; smooth solutions; blow-up criterion