Peng Wang
Abstract:
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 email: wpmath2013@gmail.com |
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