Global solution to the incompressible flow of liquid crystals

被引：67
|
作者：
Li, Xiaoli [1 ,2 ]
Wang, Dehua [2 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 01期
基金：
美国国家科学基金会;
关键词：
Liquid crystals; Incompressible flow; Strong solution; Existence and uniqueness; NAVIER-STOKES EQUATIONS; PARTIAL REGULARITY; WEAK SOLUTIONS;
D O I：
10.1016/j.jde.2011.08.045
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The initial-boundary value problem for the three-dimensional incompressible flow of liquid crystals is considered in a bounded smooth domain. The existence and uniqueness is established for both the local strong solution with large initial data and the global strong solution with small data. It is also proved that when the strong solution exists, a weak solution must be equal to the unique strong solution with the same data. (C) 2011 Elsevier Inc. All rights reserved.
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页码：745 / 767
页数：23
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