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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Global Existence of Classical Solutions with Large Oscillations and Vacuum to the Three-Dimensional Compressible Nematic Liquid Crystal Flows

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-018-0400-7 ◽

2018 ◽

Vol 20 (4) ◽

pp. 2105-2145 ◽

Author(s):

Jinkai Li ◽

Zhonghai Xu ◽

Jianwen Zhang

Keyword(s):

Liquid Crystal ◽

Global Existence ◽

Nematic Liquid Crystal ◽

Three Dimensional ◽

Classical Solutions ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal

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Global Existence and Optimal Decay Rates for Three-Dimensional Compressible Viscoelastic Flows System with Damping

Journal of Applied Mathematics and Physics ◽

10.4236/jamp.2018.611189 ◽

2018 ◽

Vol 06 (11) ◽

pp. 2273-2294

Author(s):

Wenfeng Xu

Keyword(s):

Global Existence ◽

Three Dimensional ◽

Decay Rates ◽

Viscoelastic Flows ◽

Optimal Decay Rates ◽

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Global Existence and Optimal Decay Rates for Three-Dimensional Compressible Viscoelastic Flows

SIAM Journal on Mathematical Analysis ◽

10.1137/120892350 ◽

2013 ◽

Vol 45 (5) ◽

pp. 2815-2833 ◽

Author(s):

Xianpeng Hu ◽

Guochun Wu

Keyword(s):

Global Existence ◽

Three Dimensional ◽

Decay Rates ◽

Viscoelastic Flows ◽

Optimal Decay Rates ◽

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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 ◽

Author(s):

Qiao Liu ◽

Jihong Zhao ◽

Shangbin Cui

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Directional Derivative ◽

Three Dimensional ◽

Regularity Criterion ◽

Liquid Crystal Flow

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Global Existence and Large Time Behavior of Strong Solutions to the 2-D Compressible Nematic Liquid Crystal Flows with Vacuum

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-016-0251-z ◽

2016 ◽

Vol 18 (3) ◽

pp. 539-569 ◽

Author(s):

Teng Wang

Keyword(s):

Liquid Crystal ◽

Global Existence ◽

Nematic Liquid Crystal ◽

Strong Solutions ◽

Large Time Behavior ◽

Time Behavior ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal

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Global existence and optimal decay rates for the Timoshenko system: The case of equal wave speeds

Journal of Differential Equations ◽

10.1016/j.jde.2014.11.003 ◽

2015 ◽

Vol 258 (5) ◽

pp. 1494-1518 ◽

Author(s):

Naofumi Mori ◽

Jiang Xu ◽

Shuichi Kawashima

Keyword(s):

Global Existence ◽

Decay Rates ◽

Timoshenko System ◽

Wave Speeds ◽

Optimal Decay Rates ◽

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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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On the global existence of classical solutions for compressible nematic liquid crystal flows with vacuum

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-019-1242-8 ◽

2020 ◽

Vol 71 (1) ◽

Author(s):

Yang Liu

Keyword(s):

Liquid Crystal ◽

Global Existence ◽

Nematic Liquid Crystal ◽

Classical Solutions ◽

Nematic Liquid Crystal Flows ◽

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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