期刊
ADVANCES IN MATHEMATICS
卷 231, 期 3-4, 页码 1364-1400出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2012.06.009
关键词
Liquid crystals flow; Navier-Stokes equations
类别
资金
- Australian Research Council [DP0985624]
- Zheng Ge Ru Foundation
- Hong Kong RGC [CUHK4042/08P, CUHK4041/11P]
- Chinese University of Hong Kong
- Australian Research Council [DP0985624] Funding Source: Australian Research Council
In the first part of this paper, we establish the global existence of solutions of the liquid crystal (gradient) flow for the well-known Oseen-Frank model. The liquid crystal flow is a prototype of equations from the Ericksen-Leslie system in the hydrodynamic theory and generalizes the heat flow for harmonic maps into the 2-sphere. The Ericksen-Leslie system is a system of the Navier-Stokes equations coupled with the liquid crystal flow. In the second part of this paper, we also prove the global existence of solutions of the Ericksen-Leslie system for a general Oseen-Frank model in R-2. Crown Copyright (C) 2012 Published by Elsevier Inc. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据