Liquid Crystal Flow: Dynamic and Static Configurations
Liquid Crystal Flow: Dynamic and Static Configurations
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DOI：
10.1137/s0036139998336249
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发表时间：
2000-05
期刊：
影响因子：
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通讯作者：
Chun Liu;M. Calderer
中科院分区：
文献类型：
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作者：
Chun Liu;M. Calderer
我们考虑了一个系统来模拟具有可变取向度的向列型液晶的流动。虽然这组本构方程涉及许多不同的参数，但决定流动特性的主要是三个非维参数，即埃里克森数、雷诺数和界面数。建立了系统在一般域上的耗散关系。对于平面泊泽维尔流，我们证明了解的存在性和正则性。此外，我们还讨论了由于流的Ericksen数大而存在大量缺陷的平稳构型。
We consider a system modeling the flow of nematic liquid crystals with variable degrees of orientation. Although the set of constitutive equations involves many different parameters, the flow behavior is determined mostly by three nondimensional parameters, i.e., the Ericksen number, the Reynolds number, and the interface number. We establish a dissipative relation of the system in general domains. In the case of plane Poiseuille flow, we prove existence and regularity of solutions. Moreover, we discuss the stationary configurations with a large number of defects due to the large Ericksen number of the flow.