An Osgood type regularity criterion for the liquid crystal flows

被引：4

作者：

Zhang, Zujin ^{[1
]}

Tang, Tong ^{[2
]}

Liu, Lihan ^{[3
]}

机构：

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

[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China

[3] Chongqing Normal Univ, Dept Math, Chongqing 400030, Peoples R China

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2014年 / 21卷 / 02期

关键词：

Liquid crystals; Regularity criteria; NAVIER-STOKES EQUATIONS; 3D MHD EQUATIONS; WEAK SOLUTIONS; ONE-COMPONENT; GRADIENT; TERMS;

D O I：

10.1007/s00030-013-0245-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove an Osgood type regularity criterion for the model of liquid crystals, which says that the condition sup(2 <= q<infinity) integral(T)(0) parallel to(S) over bar (q)del u(t)parallel to L-infinity/qlnq dt < infinity implies the smoothness of the solution. Here, <(S)over bar>(q) = Sigma(q)(k=-q) (Delta) over dot(k) with (Delta) over dot(k) being the frequency localization operator.

引用

页码：253 / 262

页数：10

共 50 条

[1] An Osgood type regularity criterion for the liquid crystal flows
Zujin Zhang
Tong Tang
Lihan Liu
Nonlinear Differential Equations and Applications NoDEA, 2014, 21 : 253 - 262
[2] A Regularity Criterion for the Nematic Liquid Crystal Flows
Yong Zhou
Jishan Fan
Journal of Inequalities and Applications, 2010
[3] A Regularity Criterion for the Nematic Liquid Crystal Flows
Zhou, Yong
Fan, Jishan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
[4] A new regularity criterion for the nematic liquid crystal flows
Gala, Sadek
Liu, Qiao
Ragusa, Maria Alessandra
APPLICABLE ANALYSIS, 2012, 91 (09) : 1741 - 1747
[5] Regularity Criterion for the Nematic Liquid Crystal Flows in Terms of Velocity
Wei, Ruiying
Yao, Zheng-an
Li, Yin
ABSTRACT AND APPLIED ANALYSIS, 2014,
[6] Remarks on the regularity criterion for the nematic liquid crystal flows in R3
Qian, Chenyin
APPLIED MATHEMATICS AND COMPUTATION, 2016, 274 : 679 - 689
[7] A new regularity criterion for the 3D nematic liquid crystal flows
Ben Omrane, Ines
Ben Slimane, Mourad
Gala, Sadek
Ragusa, Maria Alessandra
ANALYSIS AND APPLICATIONS, 2025, 23 (02) : 287 - 306
[8] An Osgood Type Regularity Criterion for the 3D Boussinesq Equations
Wu, Qiang
Hu, Lin
Liu, Guili
SCIENTIFIC WORLD JOURNAL, 2014,
[9] A note on regularity criterion for 3D compressible nematic liquid crystal flows
Chen, Xiaochun
Fan, Jishan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
[10] A note on regularity criterion for 3D compressible nematic liquid crystal flows
Xiaochun Chen
Jishan Fan
Journal of Inequalities and Applications, 2012

← 1 2 3 4 5 →