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

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