Global small solutions of the compressible nematic liquid crystal flow in a bounded domain

Annales Polonici Mathematici ◽

10.4064/ap181215-18-5 ◽

2020 ◽

Vol 124 (1) ◽

pp. 47-59

Author(s):

Jishan Fan ◽

Jianzhu Sun ◽

Tong Tang ◽

Gen Nakamura

Keyword(s):

Liquid Crystal ◽

Bounded Domain ◽

Nematic Liquid Crystal ◽

Liquid Crystal Flow ◽

Compressible Nematic Liquid Crystal

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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 ◽

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

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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 ◽

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

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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 ◽

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Strong solutions of the compressible nematic liquid crystal flow

Journal of Differential Equations ◽

10.1016/j.jde.2011.07.036 ◽

2012 ◽

Vol 252 (3) ◽

pp. 2222-2265 ◽

Author(s):

Tao Huang ◽

Changyou Wang ◽

Huanyao Wen

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Strong Solutions ◽

Liquid Crystal Flow ◽

Compressible Nematic Liquid Crystal

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Uniform well-posedness and low Mach number limit to the compressible nematic liquid crystal flows in a bounded domain

Nonlinear Analysis ◽

10.1016/j.na.2015.03.010 ◽

2015 ◽

Vol 120 ◽

pp. 118-126 ◽

Author(s):

Xiuhui Yang

Keyword(s):

Liquid Crystal ◽

Mach Number ◽

Bounded Domain ◽

Nematic Liquid Crystal ◽

Well Posedness ◽

Low Mach Number ◽

Low Mach Number Limit ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal

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Incompressible limit of the compressible nematic liquid crystal flow

Journal of Functional Analysis ◽

10.1016/j.jfa.2013.01.011 ◽

2013 ◽

Vol 264 (7) ◽

pp. 1711-1756 ◽

Author(s):

Shijin Ding ◽

Jinrui Huang ◽

Huanyao Wen ◽

Ruizhao Zi

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Incompressible Limit ◽

Liquid Crystal Flow ◽

Compressible Nematic Liquid Crystal

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Global Existence and the Optimal Decay Rates for the Three Dimensional Compressible Nematic Liquid Crystal Flow

Acta Applicandae Mathematicae ◽

10.1007/s10440-017-0094-5 ◽

2017 ◽

Vol 150 (1) ◽

pp. 67-80 ◽

Author(s):

Fuyi Xu ◽

Xinguang Zhang ◽

Yonghong Wu ◽

Lishan Liu

Keyword(s):

Liquid Crystal ◽

Global Existence ◽

Nematic Liquid Crystal ◽

Three Dimensional ◽

Decay Rates ◽

Liquid Crystal Flow ◽

Optimal Decay Rates ◽

Optimal Decay ◽

Compressible Nematic Liquid Crystal

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On temporal decay estimates for the compressible nematic liquid crystal flow in

Applicable Analysis ◽

10.1080/00036811.2016.1165216 ◽

2016 ◽

Vol 96 (6) ◽

pp. 897-924 ◽

Author(s):

Qiao Liu

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Decay Estimates ◽

Temporal Decay ◽

Liquid Crystal Flow ◽

Compressible Nematic Liquid Crystal

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On the well-posedness for the compressible nematic liquid crystal flow

Scientia Sinica Mathematica ◽

10.1360/012015-4 ◽

2015 ◽

Vol 45 (4) ◽

pp. 331-348 ◽

Author(s):

YongHong WU ◽

FuYi XU ◽

LiShan LIU

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Well Posedness ◽

Liquid Crystal Flow ◽

Compressible Nematic Liquid Crystal

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Incompressible limit of the compressible nematic liquid crystal flows in a bounded domain with perfectly conducting boundary

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.04.007 ◽

2019 ◽

Vol 479 (2) ◽

pp. 1417-1440

Author(s):

Qiao Liu ◽

Changsheng Dou

Keyword(s):

Liquid Crystal ◽

Bounded Domain ◽

Nematic Liquid Crystal ◽

Incompressible Limit ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal

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