We improve the regularity criterion for the Navier-Stokes equations proved by He . We show that for the Cauchy problem the Leray-Hopf weak solution is smooth provided , .
Submitted November 6, 2002. Published February 6, 2003.
Math Subject Classifications: 35Q35, 76D05.
Key Words: Navier-Stokes equations, regularity of systems of PDE's, anisotropic regularity criteria.
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| Milan Pokorny |
Math. Institute of Charles University
Sokolovska 83, 186 75 Praha 8, Czech Republic
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