Smoothness criteria for Navier-Stokes equations in terms of regularity along the steam lines

Details Smoothness criteria for Navier-Stokes equations in terms of regularity along the steam lines Smoothness criteria for Navier-Stokes equations in terms of regularity along the steam lines

2007-11-30

arxiv.org/abs/0711.5008v1

Mathematics

Analysis of PDEs

25 pages

Scientific paper

This article is devoted to a regularity criteria for solutions of the
Navier-Stokes equations in terms of regularity along the stream lines. More
precisely, we prove that a suitable weak solution for the Navier-Stokes
equations is regular under some constraint on the second derivative of |u|
along the stream lines.

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