REFINED A PRIORI ESTIMATES FOR THE AXISYMMETRIC NAVIER-STOKES EQUATIONS

Zujin Zhang; Xiqin Ouyang; Xian Yang

doi:10.11948/2017034

2017 Volume 7 Issue 2

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Zujin Zhang, Xiqin Ouyang, Xian Yang. REFINED A PRIORI ESTIMATES FOR THE AXISYMMETRIC NAVIER-STOKES EQUATIONS[J]. Journal of Applied Analysis & Computation, 2017, 7(2): 554-558. doi: 10.11948/2017034

Citation:

Zujin Zhang, Xiqin Ouyang, Xian Yang. REFINED A PRIORI ESTIMATES FOR THE AXISYMMETRIC NAVIER-STOKES EQUATIONS[J]. Journal of Applied Analysis & Computation, 2017, 7(2): 554-558. doi: 10.11948/2017034

REFINED A PRIORI ESTIMATES FOR THE AXISYMMETRIC NAVIER-STOKES EQUATIONS

1 School of Mathematics and Computer Sciences, Gannan Normal University, Ganzhou 341000, Jiangxi, China;
2 Mathematical Department, Ganzhou Teachers College, Ganzhou 341000, Jiangxi, China;
3 Foreign Language Department, Ganzhou Teachers College, Ganzhou 341000, Jiangxi, China

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Abstract

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].
- Axisymmetric Navier-Stokes equations /
- a priori estimate
MSC: 35B65;35Q35;76D03

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References

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