Sadek Gala
Abstract:
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 [6].
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 email: sadek.gala@gmail.com |
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