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 ◽

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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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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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 ◽

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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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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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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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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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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A Blow-up Criterion for 2D Compressible Nematic Liquid Crystal Flows in Terms of Density

Acta Applicandae Mathematicae ◽

10.1007/s10440-016-0067-0 ◽

2016 ◽

Vol 147 (1) ◽

pp. 39-62 ◽

Author(s):

Shengquan Liu ◽

Shujuan Wang

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Blow Up ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal ◽

Blow Up Criterion

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Long-time behavior of solution for the compressible nematic liquid crystal flows in R3

Journal of Differential Equations ◽

10.1016/j.jde.2016.04.033 ◽

2016 ◽

Vol 261 (4) ◽

pp. 2334-2383 ◽

Author(s):

Jincheng Gao ◽

Qiang Tao ◽

Zheng-an Yao

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Time Behavior ◽

Long Time Behavior ◽

Long Time ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal

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A blow-up criterion for compressible nematic liquid crystal flows

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.12.058 ◽

2013 ◽

Vol 219 (14) ◽

pp. 7365-7368

Author(s):

Weiyi Zhu ◽

Xiaochun Chen ◽

Jishan Fan

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Blow Up ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal ◽

Blow Up Criterion

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