A new blowup criterion for strong solutions of the compressible nematic liquid crystal flow

Sili Liu;  ; Xinhua Zhao; Yingshan Chen

doi:10.3934/dcdsb.2020110

A new blowup criterion for strong solutions of the compressible nematic liquid crystal flow

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2020110 ◽

2017 ◽

Vol 22 (11) ◽

pp. 0-0

Author(s):

Sili Liu ◽

◽

Xinhua Zhao ◽

Yingshan Chen

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Strong Solutions ◽

Liquid Crystal Flow ◽

Blowup Criterion ◽

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 ◽

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

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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 ◽

Cited By ~ 78

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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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 ◽

Cited By ~ 4

Author(s):

Teng Wang

Keyword(s):

Liquid Crystal ◽

Global Existence ◽

Nematic Liquid Crystal ◽

Large Time ◽

Strong Solutions ◽

Large Time Behavior ◽

Time Behavior ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal

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A regularity condition of strong solutions to the two-dimensional equations of compressible nematic liquid crystal flows

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3990 ◽

2016 ◽

Vol 40 (3) ◽

pp. 546-563 ◽

Cited By ~ 2

Author(s):

Teng Wang

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Regularity Condition ◽

Strong Solutions ◽

Two Dimensional ◽

Nematic Liquid Crystal Flows ◽

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 ◽

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

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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

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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 ◽

Odd Dimensions

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Global existence and large-time behavior of strong solutions to the Cauchy problem of the incompressible nematic liquid crystal flow

Scientia Sinica Mathematica ◽

10.1360/n012019-00036 ◽

2019 ◽

Vol 49 (12) ◽

pp. 1861

Author(s):

Zhang Jianwen ◽

Song Sisi ◽

Lyu Boqiang

Keyword(s):

Cauchy Problem ◽

Liquid Crystal ◽

Global Existence ◽

Nematic Liquid Crystal ◽

Large Time ◽

Strong Solutions ◽

Large Time Behavior ◽

Time Behavior ◽

Liquid Crystal Flow ◽

The Cauchy Problem

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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 ◽

Cited By ~ 21

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 ◽

Cited By ~ 6

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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