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.

引用

页数：9

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