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

Jinkai Li; Zhonghai Xu; Jianwen Zhang

doi:10.1007/s00021-018-0400-7

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 ◽

Cited By ~ 6

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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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) ◽

Cited By ~ 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 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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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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Large Time Asymptotic Behavior of Classical Solutions to the 3D Compressible Nematic Liquid Crystal Flows with Vacuum

Acta Applicandae Mathematicae ◽

10.1007/s10440-016-0057-2 ◽

2016 ◽

Vol 146 (1) ◽

pp. 57-66 ◽

Cited By ~ 1

Author(s):

Yang Liu

Keyword(s):

Asymptotic Behavior ◽

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Large Time ◽

Classical Solutions ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal ◽

Time Asymptotic Behavior

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Blow-up criterion of classical solutions for the incompressible nematic liquid crystal flows

Acta Mathematica Scientia ◽

10.1016/s0252-9602(17)30096-6 ◽

2017 ◽

Vol 37 (6) ◽

pp. 1632-1638

Author(s):

Zhensheng GAO ◽

Zhong TAN

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Blow Up ◽

Classical Solutions ◽

Nematic Liquid Crystal Flows ◽

Blow Up Criterion

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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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Global Weak Solutions of 3D Compressible Nematic Liquid Crystal Flows with Discontinuous Initial Data and Vacuum

Acta Applicandae Mathematicae ◽

10.1007/s10440-015-0021-6 ◽

2015 ◽

Vol 142 (1) ◽

pp. 149-171

Author(s):

Yang Liu

Keyword(s):

Liquid Crystal ◽

Initial Data ◽

Nematic Liquid Crystal ◽

Weak Solutions ◽

Global Weak Solutions ◽

Discontinuous Initial Data ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal

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Blow up criterion for three-dimensional nematic liquid crystal flows with partial viscosity

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2569 ◽

2012 ◽

Vol 36 (1) ◽

pp. 60-68 ◽

Cited By ~ 5

Author(s):

Yu-Zhu Wang ◽

Yin-Xia Wang

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Blow Up ◽

Three Dimensional ◽

Nematic Liquid Crystal Flows ◽

Blow Up Criterion

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Uniform regularity and vanishing viscosity limit for the compressible nematic liquid crystal flows

Communications in Mathematical Sciences ◽

10.4310/cms.2017.v15.n8.a6 ◽

2017 ◽

Vol 15 (8) ◽

pp. 2219-2278 ◽

Cited By ~ 1

Author(s):

Jincheng Gao ◽

Boling Guo ◽

Yaqing Liu

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Vanishing Viscosity ◽

Vanishing Viscosity Limit ◽

Viscosity Limit ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal

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A note on regularity criterion for 3D compressible nematic liquid crystal flows

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2012-59 ◽

2012 ◽

Vol 2012 (1) ◽

Author(s):

Xiaochun Chen ◽

Jishan Fan

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Regularity Criterion ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal

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