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Several almost critical regularity conditions based on one component of the solutions for 3D N-S Equations

Published 28 Dec 2013 in math.AP | (1312.7378v1)

Abstract: In this article, we establish several almost critical regularity conditions such that the weak solutions of the 3D Navier-Stokes equations become regular, based on one component of the solutions, say $u_3$ and $\partial_3u_3$.

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