Volume 7, Number 2, 2017, Pages 554-558 DOI:10.11948/2017034 |
Refined a priori estimates for the axisymmetric Navier-Stokes equations |
Zujin Zhang,Xiqin Ouyang,Xian Yang |
Keywords:Axisymmetric Navier-Stokes equations, a priori estimate. |
Abstract: |
In this paper, we consider the axisymmetric Navier-Stokes equations, and provide a refined a priori estimate for the swirl component of the vorticity. This extends Theorem 2 of [D. Chae, J. Lee, On the regularity of the axisymmetric solutions of the Navier-Stokes equations, Math. Z., 239 (2002), 645--671]. |
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