On energetic variational approaches in modeling the nematic liquid crystal flows
On energetic variational approaches in modeling the nematic liquid crystal flows
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DOI：
10.3934/dcds.2009.23.455
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发表时间：
2008-09
影响因子：
1.1
通讯作者：
Huan-chun Sun;Chun Liu
中科院分区：
文献类型：
--
作者：
Huan-chun Sun;Chun Liu
在本文中，我们提出了模拟向列液晶流动的流体动力学系统经典解的存在性结果。该系统由纳维-斯托克斯方程和分子取向的各种运动学输运方程的耦合系统组成。使用最小作用原理对诱导弹性应力进行正式物理推导反映了输运项和诱导应力项之间的特殊耦合。由于存在重要的微观结构，系统的推导和分析属于具有弹性效应的复杂流体的一般能量变分框架。
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.