Stationary Shear Flows of Nematic Liquid Crystals: A Comprehensive Study via Ericksen–Leslie Model

2021 ◽  
Author(s):  
Jia Jiao ◽  
Kaiyin Huang ◽  
Weishi Liu
Keyword(s):  
Liquid Crystals ◽  
Shear Flows ◽  
Nematic Liquid Crystals ◽  
Leslie Model ◽  
Comprehensive Study

scholarly journals Concentration-cancellation in the Ericksen–Leslie model

2020 ◽  
Vol 59 (6) ◽  
Author(s):  
Joshua Kortum
Keyword(s):  
Steady State ◽  
Liquid Crystals ◽  
Euler Equations ◽  
Weak Solutions ◽  
Nematic Liquid Crystals ◽  
Stability Of Solutions ◽  
Weak Stability ◽  
Ginzburg Landau ◽  
Leslie Model

AbstractWe establish the subconvergence of weak solutions to the Ginzburg–Landau approximation to global-in-time weak solutions of the Ericksen–Leslie model for nematic liquid crystals on the torus $${\mathbb {T}^2}$$ T 2 . The key argument is a variation of concentration-cancellation methods originally introduced by DiPerna and Majda to investigate the weak stability of solutions to the (steady-state) Euler equations.

Structural response of nematic liquid crystals to weak transient shear flows

1995 ◽  
Vol 39 (3) ◽  
pp. 627-648 ◽  
Author(s):  
P. T. Mather ◽  
D. S. Pearson ◽  
W. R. Burghardt
Keyword(s):  
Liquid Crystals ◽  
Shear Flows ◽  
Nematic Liquid Crystals ◽  
Structural Response

The electrohydrodynamic instability in twisted nematic liquid crystals

1994 ◽  
Vol 4 (2) ◽  
pp. 239-252 ◽  
Author(s):  
A. Hertrich ◽  
A. P. Krekhov ◽  
O. A. Scaldin
Keyword(s):  
Liquid Crystals ◽  
Nematic Liquid Crystals ◽  
Electrohydrodynamic Instability ◽  
Twisted Nematic

Surface disclinations in nematic liquid crystals

1975 ◽  
Vol 36 (1) ◽  
pp. 59-67 ◽  
Author(s):  
V. Vitek ◽  
M. Kléman
Keyword(s):  
Liquid Crystals ◽  
Nematic Liquid Crystals
Sign in / Sign up

Export Citation Format

Share Document