APPROXIMATION OF THE TRAJECTORY ATTRACTOR OF THE 3D SMECTIC-A LIQUID CRYSTAL FLOW EQUATIONS

被引：0

作者：

Wang, Xiuqing ^{[1
]}

Qin, Yuming ^{[2
]}

Miranville, Alain ^{[3
]}

机构：

[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China

[2] Donghua Univ, Inst Nonlinear Sci, Dept Math, Shanghai 201620, Peoples R China

[3] Univ Poitiers, Lab Math & Applicat, UMR CNRS 7648, SP2MI, Blvd Marie & Pierre Curie Teleport 2, F-6962 Futuroscope, France

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2020年 / 19卷 / 07期

关键词：

Liquid crystal flow; trajectory attractors; weak solutions; DYNAMIC THEORY; MODEL;

D O I：

10.3934/cpaa.2020168

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first establish the existence of trajectory attractors for the 3D smectic-A liquid crystal flow system and 3D smectic-A liquid crystal flow-alpha model, and then prove that the latter trajectory attractor converges to the former one as the parameter alpha -> 0(+).

引用

页码：3805 / 3827

页数：23

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