Wenying Chen, Sadek Gala
Abstract:
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 email: wenyingchenmath@gmail.com | |
Sadek Gala Department of Mathematics University of Mostaganem Box 227, Mostaganem 27000, Algeria email: sadek.gala@gmail.com |
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