Regularity criteria for the three dimensional Ericksen-Leslie system in homogeneous Besov spaces

被引：3
作者：
Zhang, Zujin [1 ]
机构：
[1] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Nematic liquid crystal flows; Regularity criteria; Besov spaces; LIQUID-CRYSTAL FLOWS; BLOW-UP CRITERION; GLOBAL EXISTENCE; R-3; VISCOSITY; EQUATIONS;
D O I：
10.1016/j.camwa.2017.10.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish some regularity criteria involving homogeneous Besov spaces for both the simplified and the general three dimensional Ericksen-Leslie system. This improves many previous results, and can be viewed as the ultimate optimal regularity criterion in the Besov space framework. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1060 / 1065
页数：6
相关论文
共 27 条
[1]  
Babouri H., 2011, GRUNDLEHREN MATH WIS, V343
[2]  
ERICKSEN JL, 1987, RES MECH, V21, P381
[3]   LIQUID-CRYSTALS WITH VARIABLE DEGREE OF ORIENTATION [J].
ERICKSEN, JL .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1991, 113 (02) :97-120
[4]   CONSERVATION LAWS FOR LIQUID CRYSTALS [J].
ERICKSEN, JL .
TRANSACTIONS OF THE SOCIETY OF RHEOLOGY, 1961, 5 :23-34
[5]  
Fan J, 2012, ISRN Math Anal, V2012
[6]   Regularity criterion to some liquid crystal models and the Landau-Lifshitz equations in R3 [J].
Fan JiShan ;
Guo BoLing .
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 51 (10) :1787-1797
[7]   Regularity criteria for the strong solutions to the Ericksen-Leslie system in R3 [J].
Fan, Jishan ;
Li, Jinkai .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 425 (02) :695-703
[8]   Regularity criteria for the Navier-Stokes-Landau-Lifshitz system [J].
Fan, Jishan ;
Gao, Hongjun ;
Guo, Boling .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 363 (01) :29-37
[9]   REGULARITY CRITERIA FOR A SIMPLIFIED ERICKSEN-LESLIE SYSTEM MODELING THE FLOW OF LIQUID CRYSTALS [J].
Fan, Jishan ;
Ozawa, Tohru .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2009, 25 (03) :859-867
[10]   Blow-up Criteria of Strong Solutions to the Ericksen-Leslie System in R3 [J].
Hong, Min-Chun ;
Li, Jinkai ;
Xin, Zhouping .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2014, 39 (07) :1284-1328
123