Two New Regularity Criteria for the 3D Navier-Stokes Equations via Two Entries of the Velocity Gradient Tensor

被引：20

作者：

Zhang, Zujin ^{[1
]}

Yao, Zheng-an ^{[2
]}

Li, Peng ^{[2
]}

Guo, Congchong ^{[2
]}

Lu, Ming ^{[2
]}

机构：

[1] Gannan Normal Univ, Coll Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China

[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2013年 / 123卷 / 01期

关键词：

Incompressible Navier-Stokes equations; Regularity criterion; Conditional regularity; WEAK SOLUTIONS; TERMS; VORTICITY; DIRECTION; PRESSURE;

D O I：

10.1007/s10440-012-9712-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy problem for the incompressible Navier-Stokes equations in R (3), and provide two new regularity criteria involving only two entries of the Jacobian matrix of the velocity field.

引用

页码：43 / 52

页数：10

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