Long time behavior and field-induced instabilities of smectic liquid crystals

被引：0

作者：

Kim, Soojung ^{[1
]}

Pan, Xing-Bin ^{[2
,3
,4
]}

机构：

[1] Soongsil Univ, Dept Math, Seoul 06978, South Korea

[2] Chinese Univ Hong Kong Shenzhen, Sch Sci & Engn, Shenzhen 518172, Guangdong, Peoples R China

[3] East China Normal Univ, Sch Math, Shanghai 200062, Peoples R China

[4] NYU Shanghai, NY ECNU Inst Math Sci, Shanghai 200062, Peoples R China

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2021年 / 281卷 / 03期

基金：

新加坡国家研究基金会; 中国国家自然科学基金;

关键词：

Smectic liquid crystal; Magnetic field-induced instability; Global solution; Long time behavior; GINZBURG-LANDAU EQUATIONS; EXISTENCE; DYNAMICS; FLOW;

D O I：

10.1016/j.jfa.2021.109036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study long time behavior and dynamical instabilities of smectic liquid crystals in an applied magnetic field. Under a planar ansatz of the de Gennes model, we first establish existence of global weak solutions and prove convergence to an equilibrium as t tends to infinity. Then we discuss field-induced dynamical instability of pure smectic states and dynamical instability of the pure nematic states, which rely on weak instabilities of the pure smectic and nematic states in magnetic fields. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：40

共 39 条

[21] Analytic Description of Layer Undulations in Smectic A Liquid Crystals [J].