In this note, we study the regularity of Leray-Hopf weak solutions to the Navier-Stokes equation, with the condition
where is the Morrey-Campanato space for . Since
the above regularity condition allows us to improve the results obtained by Fan and Gao .
Submitted November 5, 2009. Published November 25, 2009.
Math Subject Classifications: 35Q30, 35K15, 76D05.
Key Words: Navier-Stokes equations; regularity criterion; Morrey-Campanato spaces.
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| Sadek Gala |
Department of Mathematics, University of Mostaganem
Box 227, Mostaganem 27000, Algeria
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