Wenying Chen, Sadek Gala
In this article, we consider the regularity for weak solutions to the Navier-Stokes equations in . It is proved that if the horizontal derivatives of the two velocity components
then the weak solution is actually strong, where is the critical Morrey-Campanato space and , .
Submitted October 18, 2010. Published January 12, 2011.
Math Subject Classifications: 35Q30, 76F65.
Key Words: Navier-Stokes equations; Leray-Hopf weak solutions; regularity criterion.
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| Wenying Chen |
College of Mathematics and Computer Science
Chongqing Three Gorges University
Wanzhou 404000, Chongqing, China
| Sadek Gala |
Department of Mathematics
University of Mostaganem
Box 227, Mostaganem 27000, Algeria
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