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Open Access Research Article

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

Yu-Zhu Wang1*, Liping Hu2 and Yin-Xia Wang1

Author Affiliations

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

2 College of Information and Management Science, Henan Agricultural University, Zhengzhou 450002, China

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Boundary Value Problems 2011, 2011:128614  doi:10.1155/2011/128614

Published: 15 March 2011

Abstract

We study the incompressible magneto-micropolar fluid equations with partial viscosity in . 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.