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arXiv · 1606.02790

A new local regularity criterion for suitable weak solutions of the Navier--Stokes equations in terms of the velocity gradient

Hi Jun Choe·Joerg Wolf·Minsuk Yang
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Abstract

We study the partial regularity of suitable weak solutions to the three dimensional incompressible Navier--Stokes equations. There have been several attempts to refine the Caffarelli--Kohn--Nirenberg criterion (1982). We present an improved version of the CKN criterion with a direct method, which also provides the quantitative relation in Seregin's criterion (2007).

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Hi Jun Choe, Joerg Wolf, Minsuk Yang. 2016-06-09. A new local regularity criterion for suitable weak solutions of the Navier--Stokes equations in terms of the velocity gradient. https://arxiv.org/abs/1606.02790

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