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

共 50 条

[41] A new local regularity criterion for suitable weak solutions of the Navier-Stokes equations in terms of the velocity gradient
Choe, Hi Jun
Wolf, Joerg
Yang, Minsuk
MATHEMATISCHE ANNALEN, 2018, 370 (1-2) : 629 - 647
[42] A SERRIN-TYPE REGULARITY CRITERION FOR THE NAVIER-STOKES EQUATIONS VIA ONE VELOCITY COMPONENT
Zhang, Zujin
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (01) : 117 - 124
[43] Regularity Criterion for Weak Solutions to the Navier-Stokes Equations in Terms of the Gradient of the Pressure
Fan, Jishan
Ozawa, Tohru
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
[44] Regularity Criterion for Weak Solutions to the Navier-Stokes Equations in Terms of the Gradient of the Pressure
Jishan Fan
Tohru Ozawa
Journal of Inequalities and Applications, 2008
[45] On a Serrin-type regularity criterion for the Navier-Stokes equations in terms of the pressure
Struwe, Michael
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2007, 9 (02) : 235 - 242
[46] On regularity criteria for the Navier–Stokes equations based on one directional derivative of the velocity or one diagonal entry of the velocity gradient
Zujin Zhang
Yali Zhang
Zeitschrift für angewandte Mathematik und Physik, 2021, 72
[47] Regularity criteria via one directional derivative of the velocity in anisotropic Lebesgue spaces to the 3D Navier-Stokes equations
Ragusa, Maria Alessandra
Wu, Fan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 502 (02)
[48] The end-point regularity criterion for the Navier-Stokes equations in terms of partial derivative3u
Skalak, Zdenek
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2020, 55
[49] On the regularity criterion for the Navier-Stokes equations involving the diagonal entry of the velocity gradient
Zhang, Zujin
Yang, Xian
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 122 : 169 - 175
[50] Serrin-type regularity criterion for the Navier-Stokes equations involving one velocity and one vorticity component
Zujin Zhang
Czechoslovak Mathematical Journal, 2018, 68 : 219 - 225

← 1 2 3 4 5 →