A representation formula of incompressible liquid crystal flow and its applications

被引：7
|
作者：
Huang, Xiangdi [1 ]
机构：
[1] Chinese Acad Sci, AMSS, NCMIS, Beijing 100190, Peoples R China
来源：
NONLINEARITY | 2017年 / 30卷 / 05期
基金：
中国国家自然科学基金;
关键词：
global existence; liquid crystals; strong solution; HARMONIC MAPS;
D O I：
10.1088/1361-6544/aa63a5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give a representation formula for the solutions of incompressible liquid crystal flow in arbitrary dimensions. As a direct application, one can obtain a strong global solution in two dimensions, as long as the image of the initial orientation field of the liquid crystal lies in a plane, or is a nontrivial curve on the unit sphere. The results also hold for inhomogeneous incompressible liquid crystals.
引用
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页码：1911 / 1919
页数：9
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