ON ENERGETIC VARIATIONAL APPROACHES IN MODELING THE NEMATIC LIQUID CRYSTAL FLOWS

被引：103

作者：

Sun, Huan ^{[1
]}

Liu, Chun ^{[1
]}

机构：

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

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2009年 / 23卷 / 1-2期

关键词：

Navier-Stokes Equations; Existence; Non-newtonian fluids; EQUATIONS;

D O I：

10.3934/dcds.2009.23.455

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present results for the existence of classical solutions of a hydrodynamical system modeling the flow of nematic liquid crystals. The system consists of a coupled system of Navier-Stokes equations and various kinematic transport equations for the molecular orientations. A formal physical derivation of the induced elastic stress using least action principle reflects the special coupling between the transport and the induced stress terms. The derivation and the analysis of the system falls into a general energetic variational framework for complex fluids with elastic effects due to the presence of nontrivial microstructures.

引用

页码：455 / 475

页数：21