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

Chi Hin Chan

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arXiv · 0711.5008

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

Chi Hin Chan

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Abstract

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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Chi Hin Chan. 2007-11-30. Smoothness criteria for Navier-Stokes equations in terms of regularity along the steam lines. https://arxiv.org/abs/0711.5008

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