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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 184674, 9 pages
doi:10.1155/2012/184674
Research Article
A Note on the Regularity Criterion of Weak Solutions of Navier-Stokes Equations in Lorentz Space
School of Science, Tianjin Polytechnic University, Tianjin 300387, China
Received 3 July 2012; Accepted 7 August 2012
Academic Editor: Yonghong Yao
Copyright © 2012 Xunwu Yin. 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
This paper is concerned with the regularity of Leray weak solutions to the 3D Navier-Stokes equations in Lorentz space. It is proved that the weak solution is regular if the horizontal velocity denoted by satisfies The result is obvious and improved that of Dong and Chen (2008) on the Lebesgue space.