In this article, the author studies the regularity of 3D generalized Navier-Stokes (GNS) equations with fractional dissipative terms . It is proved that if with
then any smooth on GNS in remains smooth on .
Submitted April 8, 2010. Published August 2, 2010.
Math Subject Classifications: 35D10, 35Q35, 76D03.
Key Words: Generalized Navier-Stokes equation; regularity; Serrin criteria.
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| Yuwen Luo |
School of Mathematics and Statistics
Chongqing University of Technology
Chongqing 400050, China
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