An improved regularity criterion for the Navier-Stokes equations in terms of one directional derivative of the velocity field

被引：21

作者：

Zhang, Zujin ^{[1
]}

机构：

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

来源：

BULLETIN OF MATHEMATICAL SCIENCES | 2018年 / 8卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Regularity criteria; Navier-Stokes equations; Multiplicative Sobolev inequality; 3D MHD EQUATIONS; WEAK SOLUTIONS; ONE-COMPONENT; GRADIENT;

D O I：

10.1007/s13373-016-0098-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish a new multiplicative Sobolev inequality. As applications, we refine and extend the results in Kukavica and Ziane (J Math Phys 48:065203, 2007) and Cao (Discrete Contin Dyn Syst 26:1141-1151, 2010) simultaneously.

引用

页码：33 / 47

页数：15

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