REGULARITY FOR THE AXISYMMETRIC NAVIER-STOKES EQUATIONS

被引：0
作者：
Wang, Peng [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年
关键词：
Navier-Stokes equations; axi-symmetric flow; regularity criterion; AXIALLY-SYMMETRIC FLOWS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 u satisfies parallel to u(theta)parallel to(L alpha(0,T;L beta)) < infinity, where 2/alpha broken vertical bar 3/beta <= 1, and 3 < beta <= infinity, then the strong solution keeps smoothness up to time T.
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页数：9
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