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

Published online by Cambridge University Press:  17 February 2009

Yong Zhou
Yong Zhou
Affiliation:
Department of Mathematics, East China Normal University, Shanghai 200062, China; e-mail: yzhou@math.ecnu.edu.cn.
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 46 , Issue 3 , January 2005 , pp. 309 - 316
Copyright
Copyright © Australian Mathematical Society 2005

References

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