Boundary Value Problems
Volume 2011 (2011), Article ID 128614, 14 pages
doi:10.1155/2011/128614
Research Article

A Beale-Kato-Madja Criterion for Magneto-Micropolar Fluid Equations with Partial Viscosity

Yu-Zhu Wang,1 Liping Hu,2 and Yin-Xia Wang1

1School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, China
2College of Information and Management Science, Henan Agricultural University, Zhengzhou 450002, China

Received 18 February 2011; Accepted 7 March 2011

Academic Editor: Gary Lieberman

Copyright © 2011 Yu-Zhu Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study the incompressible magneto-micropolar fluid equations with partial viscosity in ℝ 𝑛 ( 𝑛 = 2 , 3 ) . A blow-up criterion of smooth solutions is obtained. The result is analogous to the celebrated Beale-Kato-Majda type criterion for the inviscid Euler equations of incompressible fluids.