Global regularity of the 2D liquid crystal equations with weak velocity dissipation

被引：8

作者：

Yu, Yanghai ^{[1
]}

Wu, Xing ^{[1
]}

Tang, Yanbin ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 74卷 / 05期

基金：

中国国家自然科学基金;

关键词：

2D liquid crystal equations; Weak dissipation; Damping; Global regularity; EXISTENCE; CRITERION; EULER; MODEL; FLOW;

D O I：

10.1016/j.camwa.2016.11.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider an initial value problem for the two-dimensional liquid crystal equations. We establish the global regularity of solutions to the equations with a weak velocity dissipation and obtain the global smooth solutions to the 2D liquid crystal equations with damping for small initial data.(C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：920 / 933

页数：14

共 27 条

[1]

[Anonymous], 1983, MONOGRAPHS MATH

[2]

Brezis H., 1980, Nonlinear Analysis Theory, Methods & Applications, V4, P677, DOI 10.1016/0362-546X(80)90068-1

[3] Nonlinear maximum principles for dissipative linear nonlocal operators and applications [J].

Constantin, Peter ;

Vicol, Vlad .

GEOMETRIC AND FUNCTIONAL ANALYSIS, 2012, 22 (05) :1289-1321

[4] Well-posedness of the full Ericksen-Leslie model of nematic liquid crystals [J].

Coutand, D ;

Shkoller, S .

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2001, 333 (10) :919-924

[5]

Fan JS, 2011, HOUSTON J MATH, V37, P627

[6] Higher order commutator estimates and local existence for the non-resistive MHD equations and related models [J].

Fefferman, Charles L. ;

McCormick, David S. ;

Robinson, James C. ;

Rodrigo, Jose L. .

JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 267 (04) :1035-1056

[7]

Feireisl E, 2009, ADV MATH FLUID MECH, P1

[8] Logarithmically improved regularity criterion for the nematic liquid crystal flows in (B) over dot∞,∞-1 space [J].

Gala, Sadek ;

Liu, Qiao ;

Ragusa, Maria Alessandra .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 65 (11) :1738-1745

[9] Higher regularity of global attractor for a damped Benjamin-Bona-Mahony equation on R [J].

Guo, Yantao ;

Wang, Ming ;

Tang, Yanbin .

APPLICABLE ANALYSIS, 2015, 94 (09) :1766-1783

[10]

Jacob N, 2005, PSEUDO DIFFERENTIAL OPERATORS AND MARKOV PROCESSES, VOL III: MARKOV PROCESSES AND APPLICATIONS, P3, DOI 10.1142/9781860947155_0001

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