ANZIAM  J.  46 (2005), 309-316

Direction of vorticity and a new regularity criterion for the Navier-Stokes equations

Yong Zhou   Department of Mathematics   East China Normal University   Shanghai 200062   China     yzhou@math.ecnu.edu.cn

Abstract

In this paper, we prove a new regularity criterion in terms of the direction of vorticity for the weak solution to 3-D incompressible Navier-Stokes equations. Under the framework of Constantin and Fefferman, a more relaxed regularity criterion in terms of the direction of vorticity is established.

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