Dynamics and Flow Effects in the Beris-Edwards System Modeling Nematic Liquid Crystals

被引：22

作者：

Wu, Hao ^{[1
,2
,3
]}

Xu, Xiang ^{[4
]}

Zarnescu, Arghir ^{[5
,6
,7
]}

机构：

[1] Fudan Univ, Sch Math Sci, Han Dan Rd 220, Shanghai 200433, Peoples R China

[2] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Han Dan Rd 220, Shanghai 200433, Peoples R China

[3] Fudan Univ, Minist Educ, Key Lab Math Nonlinear Sci, Han Dan Rd 220, Shanghai 200433, Peoples R China

[4] Old Dominion Univ, Dept Math & Stat, Norfolk, VA 23529 USA

[5] Ikerbasque, Basque Fdn Sci, Maria Diaz de Haro 3, Bilbao 48013, Bizkaia, Spain

[6] BCAM, Mazarredo 14, E-48009 Bilbao, Bizkaia, Spain

[7] Romanian Acad, Simion Stoilow Inst, 21 Calea Grivitei, Bucharest 010702, Romania

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2019年 / 231卷 / 02期

关键词：

Q-TENSOR SYSTEM; COUPLED NAVIER-STOKES; WEAK SOLUTIONS; REGULARITY; UNIQUENESS; EXISTENCE;

D O I：

10.1007/s00205-018-1297-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Beris-Edwards system modelling incompressible liquid crystal flows of nematic type. This couples a Navier-Stokes system for the fluid velocity with a parabolic reaction-convection-diffusion system for the Q-tensors describing the average orientation of liquid crystal molecules. In this paper, we study the effect that the flow has on the dynamics of the Q-tensors by considering two fundamental aspects: the preservation of the eigenvalue-range and the dynamical emergence of defects in the limit of large Ericksen number.

引用

页码：1217 / 1267

页数：51

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