scholarly journals The zero inertia limit from hyperbolic to parabolic Ericksen-Leslie system of liquid crystal flow

2021 ◽  
pp. 109280
Author(s):  
Ning Jiang ◽  
Yi-Long Luo
Keyword(s):  
Liquid Crystal ◽  
Liquid Crystal Flow ◽  
Leslie System

The Kinematic Effects of the Defects in Liquid Crystal Dynamics

2016 ◽  
Vol 20 (1) ◽  
pp. 234-249 ◽  
Author(s):  
Rui Chen ◽  
Weizhu Bao ◽  
Hui Zhang
Keyword(s):  
Liquid Crystal ◽  
Shear Flow ◽  
Nematic Liquid Crystal ◽  
Difference Method ◽  
Numerical Experiments ◽  
Crystal System ◽  
Liquid Crystal System ◽  
Crystal Dynamics ◽  
Leslie System ◽  
Flow Case

AbstractHere we investigate the kinematic transports of the defects in the nematic liquid crystal system by numerical experiments. The model is a shear flow case of the viscoelastic continuummodel simplified fromthe Ericksen-Leslie system. The numerical experiments are carried out by using a difference method. Based on these numerical experiments we find some interesting and important relationships between the kinematic transports and the characteristics of the flow. We present the development and interaction of the defects. These results are partly consistent with the observation from the experiments. Thus this scheme illustrates, to some extent, the kinematic effects of the defects.

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