Dynamic theory for incompressible Smectic-A liquid crystals: Existence and regularity

被引：26

作者：

Liu, C ^{[1
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] Penn State Univ, Ctr Phys Mat, University Pk, PA 16802 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2000年 / 6卷 / 03期

关键词：

smectic-A liquid crystals; Navier-Stokes equations;

D O I：

10.3934/dcds.2000.6.591

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a system that was proposed in [3] in order to model the dynamic of Smectic-A liquid crystals. We establish the energy dissipative relation of the system and prove the existence of global weak solutions. A higher order energy estimate is also established for the existence of the classical solutions and the regularity of the weak solutions. Some regularity and stability results are also discussed in this paper.

引用

页码：591 / 608

页数：18

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