scholarly journals A Regularity Criterion for a Simplified Non-Isothermal Model for Nematic Liquid Crystals

2020 ◽  
Vol 63 (2) ◽  
pp. 247-258
Author(s):  
Weijiang Gu ◽  
Bessem Samet ◽  
Yong Zhou
Keyword(s):  
Liquid Crystals ◽  
Nematic Liquid Crystals ◽  
Regularity Criterion ◽  
Isothermal Model

scholarly journals On a non-isothermal model for nematic liquid crystals

Nonlinearity ◽  
2010 ◽  
Vol 24 (1) ◽  
pp. 243-257 ◽  
Author(s):  
Eduard Feireisl ◽  
Elisabetta Rocca ◽  
Giulio Schimperna
Keyword(s):  
Liquid Crystals ◽  
Nematic Liquid Crystals ◽  
Isothermal Model

scholarly journals Regularity and uniqueness for a class of solutions to the hydrodynamic flow of nematic liquid crystals

2016 ◽  
Vol 14 (04) ◽  
pp. 523-536 ◽  
Author(s):  
Tao Huang
Keyword(s):  
Cauchy Problem ◽  
Weak Solution ◽  
Liquid Crystal ◽  
Liquid Crystals ◽  
Nematic Liquid Crystal ◽  
Weak Solutions ◽  
Nematic Liquid Crystals ◽  
Regularity Criterion ◽  
Liquid Crystal Flow ◽  
The Cauchy Problem

In this paper, we establish an [Formula: see text]-regularity criterion for any weak solution [Formula: see text] to the nematic liquid crystal flow (1.1) such that [Formula: see text] for some [Formula: see text] and [Formula: see text] satisfying the condition (1.2). As consequences, we prove the interior smoothness of any such a solution when [Formula: see text] and [Formula: see text]. We also show that uniqueness holds for the class of weak solutions [Formula: see text] the Cauchy problem of the nematic liquid crystal flow (1.1) that satisfy [Formula: see text] for some [Formula: see text] and [Formula: see text] satisfying (1.2).

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
Sign in / Sign up

Export Citation Format

Share Document