Singularity formation to the two-dimensional compressible non-isothermal nematic liquid crystal flows in a bounded domain

Journal of Differential Equations ◽

10.1016/j.jde.2019.04.025 ◽

2019 ◽

Vol 267 (6) ◽

pp. 3797-3826 ◽

Author(s):

Xin Zhong

Keyword(s):

Liquid Crystal ◽

Bounded Domain ◽

Nematic Liquid Crystal ◽

Two Dimensional ◽

Singularity Formation ◽

Nematic Liquid Crystal Flows

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A remark on global strong solution of two‐dimensional inhomogeneous nematic liquid crystal flows in a bounded domain

Mathematische Nachrichten ◽

10.1002/mana.201900218 ◽

2021 ◽

Author(s):

Xin Zhong

Keyword(s):

Liquid Crystal ◽

Strong Solution ◽

Bounded Domain ◽

Nematic Liquid Crystal ◽

Two Dimensional ◽

Global Strong Solution ◽

Nematic Liquid Crystal Flows

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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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Pullback attractors of the two-dimensional non-autonomous simplified Ericksen–Leslie system for nematic liquid crystal flows

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-016-0680-9 ◽

2016 ◽

Vol 67 (4) ◽

Author(s):

Bo You ◽

Fang Li

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Two Dimensional ◽

Pullback Attractors ◽

Nematic Liquid Crystal Flows ◽

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Numerical solution of the Ericksen–Leslie dynamic equations for two-dimensional nematic liquid crystal flows

Journal of Computational Physics ◽

10.1016/j.jcp.2013.03.061 ◽

2013 ◽

Vol 247 ◽

pp. 109-136 ◽

Author(s):

Pedro A. Cruz ◽

Murilo F. Tomé ◽

Iain W. Stewart ◽

Sean McKee

Keyword(s):

Liquid Crystal ◽

Numerical Solution ◽

Nematic Liquid Crystal ◽

Dynamic Equations ◽

Two Dimensional ◽

Nematic Liquid Crystal Flows

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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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Strong solutions to the Cauchy problem of two-dimensional compressible non-isothermal nematic liquid crystal flows with vacuum and zero heat conduction

Journal of Mathematical Physics ◽

10.1063/1.5109901 ◽

2020 ◽

Vol 61 (1) ◽

pp. 011508 ◽

Author(s):

Xin Zhong

Keyword(s):

Cauchy Problem ◽

Liquid Crystal ◽

Heat Conduction ◽

Nematic Liquid Crystal ◽

Strong Solutions ◽

Two Dimensional ◽

The Cauchy Problem ◽

Nematic Liquid Crystal Flows

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Global strong solution to the two-dimensional density-dependent nematic liquid crystal flows with vacuum

Nonlinearity ◽

10.1088/1361-6544/aa8426 ◽

2017 ◽

Vol 30 (11) ◽

pp. 4062-4088 ◽

Author(s):

Lin Li ◽

Qiao Liu ◽

Xin Zhong

Keyword(s):

Liquid Crystal ◽

Strong Solution ◽

Nematic Liquid Crystal ◽

Two Dimensional ◽

Density Dependent ◽

Global Strong Solution ◽

Nematic Liquid Crystal Flows

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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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Asymptotic behavior of two-dimensional stochastic nematic liquid crystal flows with multiplicative noise

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124791 ◽

2021 ◽

Vol 496 (1) ◽

pp. 124791

Author(s):

Boling Guo ◽

Guoli Zhou ◽

Wenxin Zhou

Keyword(s):

Asymptotic Behavior ◽

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Multiplicative Noise ◽

Two Dimensional ◽

Nematic Liquid Crystal Flows

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$L^\infty$ continuation principle for two-dimensional compressible nematic liquid crystal flows

Communications in Mathematical Sciences ◽

10.4310/cms.2021.v19.n1.a3 ◽

2021 ◽

Vol 19 (1) ◽

pp. 55-72

Author(s):

Xin Zhong

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Two Dimensional ◽

Continuation Principle ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal

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