On the regularity criteria for liquid crystal flows

被引：8

作者：

Zhao, Lingling ^{[1
]}

Li, Fengquan ^{[1
]}

机构：

[1] Dalian Univ Technol, Dalian, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2018年 / 69卷 / 05期

关键词：

Liquid crystal; Regularity criteria; Velocity component; Orientation field component; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; R-3;

D O I：

10.1007/s00033-018-1017-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show a regularity criteria for three- dimensional nematic liquid crystal flows. More precisely, we prove that the weak solution (u, d) can be extended beyond (q > 10/3).

引用

页数：13

共 19 条

[1]

[Anonymous], 1985, Appl. Math. Sci.

[2] PARTIAL REGULARITY OF SUITABLE WEAK SOLUTIONS OF THE NAVIER-STOKES EQUATIONS [J].

CAFFARELLI, L ;

KOHN, R ;

NIRENBERG, L .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1982, 35 (06) :771-831

[3] Regularity Criteria for the Three-dimensional Navier-Stokes Equations [J].

Cao, Chongsheng ;

Titi, Edriss S. .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2008, 57 (06) :2643-2661

[4]

ERICKSEN JL, 1962, ARCH RATION MECH AN, V9, P371

[5] On regularity criteria for the n-dimensional Navier-Stokes equations in terms of the pressure [J].

Fan, Jishan ;

Jiang, Song ;

Ni, Guoxi .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 244 (11) :2963-2979

[6] A new regularity criterion for the nematic liquid crystal flows [J].

Gala, Sadek ;

Liu, Qiao ;

Ragusa, Maria Alessandra .

APPLICABLE ANALYSIS, 2012, 91 (09) :1741-1747

[7] Navier-Stokes equations with regularity in one direction [J].

Kukavica, Igor ;

Ziane, Mohammed .

JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (06)

[8] REMARKS OF GLOBAL WELLPOSEDNESS OF LIQUID CRYSTAL FLOWS AND HEAT FLOWS OF HARMONIC MAPS IN TWO DIMENSIONS [J].

Lei, Zhen ;

Li, Dong ;

Zhang, Xiaoyi .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142 (11) :3801-3810

[9]

LESLIE FM, 1968, ARCH RATION MECH AN, V28, P265

[10]

Lin F., 1996, DISC CONTIN DYN SYST, V2, P1, DOI DOI 10.3934/dcds.1996.2.1

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