In this article, we establish a regularity criterion for the Navier-Stokes system with axisymmetric initial data. It is proved that if the local axisymmetric smooth solution satisfies , where , and , then the strong solution keeps smoothness up to time T.
Submitted June 11, 2015. Published September 25, 2015.
Math Subject Classifications: 35Q30, 76D03.
Key Words: Navier-Stokes equations; axi-symmetric flow; regularity criterion.
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| Peng Wang |
Department of Mathematics
Zhejiang Normal University
Jinhua 321004, Zhejiang, China
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