Journal of Applied Mathematics
Volume 2012 (2012), Article ID 541203, 13 pages
http://dx.doi.org/10.1155/2012/541203
Research Article

Logarithmically Improved Blow up Criterion for Smooths Solution to the 3D Micropolar Fluid Equations

Yin-Xia Wang1 and Hengjun Zhao2

1School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, China
2Department of Mathematical and Physical Sciences, Henan Institute of Engineering, Zhengzhou 451191, China

Received 8 January 2012; Accepted 24 April 2012

Academic Editor: Mina Abd-El-Malek

Copyright © 2012 Yin-Xia Wang and Hengjun Zhao. 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

Blow-up criteria of smooth solutions for the 3D micropolar fluid equations are investigated. Logarithmically improved blow-up criteria are established in the Morrey-Campanto space.