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

Chi Hin Chan

Published 2007-11-30Version 1

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.