A Finite Element Algorithm for Nematic Liquid Crystal Flow Based on the Gauge-Uzawa Method

Pengzhan Huang

doi:10.4208/jcm.2005-m2020-0010

A Finite Element Algorithm for Nematic Liquid Crystal Flow Based on the Gauge-Uzawa Method

Journal of Computational Mathematics ◽

10.4208/jcm.2005-m2020-0010 ◽

2022 ◽

Vol 40 (1) ◽

pp. 26-43

Author(s):

Pengzhan Huang

Keyword(s):

Finite Element ◽

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Uzawa Method ◽

Liquid Crystal Flow ◽

Element Algorithm

Download Full-text

Finite Element Approximations of the Ericksen–Leslie Model for Nematic Liquid Crystal Flow

SIAM Journal on Numerical Analysis ◽

10.1137/07068254x ◽

2008 ◽

Vol 46 (4) ◽

pp. 1704-1731 ◽

Cited By ~ 34

Author(s):

Roland Becker ◽

Xiaobing Feng ◽

Andreas Prohl

Keyword(s):

Finite Element ◽

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Leslie Model ◽

Finite Element Approximations ◽

Liquid Crystal Flow

Download Full-text

On partial regularity criterion for the co-rotational Beris-Edwards system modeling nematic liquid crystal flow

Journal of Differential Equations ◽

10.1016/j.jde.2021.08.021 ◽

2021 ◽

Vol 301 ◽

pp. 300-329

Author(s):

Qiao Liu

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Partial Regularity ◽

System Modeling ◽

Regularity Criterion ◽

Liquid Crystal Flow

Download Full-text

Weak solutions of non-isothermal nematic liquid crystal flow in dimension three

Journal of Elliptic and Parabolic Equations ◽

10.1007/s41808-020-00055-z ◽

2020 ◽

Vol 6 (1) ◽

pp. 71-98

Author(s):

Hengrong Du ◽

Yimei Li ◽

Changyou Wang

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Weak Solutions ◽

Liquid Crystal Flow

Download Full-text

Surface Azimuthal Anchoring Energy between the Grating Surface and Nematic Liquid Crystal Layer Studied by Finite Element Method

Japanese Journal of Applied Physics ◽

10.1143/jjap.43.4310 ◽

2004 ◽

Vol 43 (7A) ◽

pp. 4310-4311 ◽

Cited By ~ 3

Author(s):

Yasuyuki Ohta ◽

Norihiko Tanaka ◽

Munehiro Kimura ◽

Tadashi Akahane

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Crystal Layer ◽

Liquid Crystal Layer ◽

Nematic Liquid Crystal Layer ◽

Anchoring Energy ◽

Azimuthal Anchoring Energy ◽

Element Method

Download Full-text

A regularity criterion for the three-dimensional nematic liquid crystal flow in terms of one directional derivative of the velocity

Journal of Mathematical Physics ◽

10.1063/1.3567170 ◽

2011 ◽

Vol 52 (3) ◽

pp. 033102 ◽

Cited By ~ 10

Author(s):

Qiao Liu ◽

Jihong Zhao ◽

Shangbin Cui

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Directional Derivative ◽

Three Dimensional ◽

Regularity Criterion ◽

Liquid Crystal Flow

Download Full-text

Global strong and weak solutions to inhomogeneous nematic liquid crystal flow in two dimensions

Nonlinear Analysis ◽

10.1016/j.na.2013.12.023 ◽

2014 ◽

Vol 99 ◽

pp. 80-94 ◽

Cited By ~ 23

Author(s):

Jinkai Li

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Weak Solutions ◽

Two Dimensions ◽

Liquid Crystal Flow

Download Full-text

Exponential stability for the compressible nematic liquid crystal flow with large initial data

Communications on Pure and Applied Analysis ◽

10.3934/cpaa.2016007 ◽

2016 ◽

Vol 15 (5) ◽

pp. 1661-1669 ◽

Cited By ~ 1

Author(s):

Qiang Tao ◽

Ying Yang

Keyword(s):

Liquid Crystal ◽

Initial Data ◽

Exponential Stability ◽

Nematic Liquid Crystal ◽

Large Initial Data ◽

Liquid Crystal Flow ◽

Compressible Nematic Liquid Crystal

Download Full-text

Global strong solutions of the compressible nematic liquid crystal flow with the cylinder symmetry

Communications in Mathematical Sciences ◽

10.4310/cms.2015.v13.n8.a5 ◽

2015 ◽

Vol 13 (8) ◽

pp. 2065-2096 ◽

Cited By ~ 3

Author(s):

Qiang Tao ◽

Jincheng Gao ◽

Zheng-An Yao

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Strong Solutions ◽

Liquid Crystal Flow ◽

Global Strong Solutions ◽

Compressible Nematic Liquid Crystal

Download Full-text

Global strong solutions to the inhomogeneous incompressible nematic liquid crystal flow

Methods and Applications of Analysis ◽

10.4310/maa.2015.v22.n2.a4 ◽

2015 ◽

Vol 22 (2) ◽

pp. 201-220 ◽

Cited By ~ 1

Author(s):

Jinkai Li

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Strong Solutions ◽

Liquid Crystal Flow ◽

Global Strong Solutions

Download Full-text

Pointwise estimates of solution to compressible nematic liquid crystal flow in odd dimensions

Scientia Sinica Mathematica ◽

10.1360/012013-122 ◽

2013 ◽

Vol 43 (8) ◽

pp. 807-823

Author(s):

ZhiGang WU

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Pointwise Estimates ◽

Liquid Crystal Flow ◽

Compressible Nematic Liquid Crystal ◽

Odd Dimensions

Download Full-text