A note on a global strong solution to the 2D Cauchy problem of density-dependent nematic liquid crystal flows with vacuum

Comptes Rendus Mathematique ◽

10.1016/j.crma.2018.04.011 ◽

2018 ◽

Vol 356 (5) ◽

pp. 503-508

Author(s):

Xin Zhong

Keyword(s):

Cauchy Problem ◽

Liquid Crystal ◽

Strong Solution ◽

Nematic Liquid Crystal ◽

Density Dependent ◽

Global Strong Solution ◽

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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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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Strong Solutions to the Density-Dependent Incompressible Nematic Liquid Crystal Flows with Heat Effect

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-020-01026-2 ◽

2020 ◽

Author(s):

Xiaopeng Zhao ◽

Mingxuan Zhu

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Heat Effect ◽

Strong Solutions ◽

Density Dependent ◽

Nematic Liquid Crystal Flows

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Global strong solution to the 2D density-dependent liquid crystal flows with vacuum

Nonlinear Analysis ◽

10.1016/j.na.2013.11.024 ◽

2014 ◽

Vol 97 ◽

pp. 185-190 ◽

Author(s):

Jishan Fan ◽

Fucai Li ◽

Gen Nakamura

Keyword(s):

Liquid Crystal ◽

Strong Solution ◽

Density Dependent ◽

Global Strong Solution

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Global well‐posedness of the 3D incompressible nematic liquid crystal flows with density‐dependent viscosity coefficient

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6341 ◽

2020 ◽

Vol 43 (9) ◽

pp. 5985-6010

Author(s):

Yang Liu

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Viscosity Coefficient ◽

Well Posedness ◽

Density Dependent ◽

Nematic Liquid Crystal Flows ◽

Dependent Viscosity

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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 well-posedness to the 3D Cauchy problem of compressible non-isothermal nematic liquid crystal flows with vacuum

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2020.103219 ◽

2021 ◽

Vol 58 ◽

pp. 103219

Author(s):

Yang Liu ◽

Xin Zhong

Keyword(s):

Cauchy Problem ◽

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Well Posedness ◽

Nematic Liquid Crystal Flows

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Global Existence and Exponential Decay of Strong Solutions to the 2D Density-dependent Nematic Liquid Crystal Flows with Vacuum

Taiwanese Journal of Mathematics ◽

10.11650/tjm/200207 ◽

2020 ◽

Vol 24 (5) ◽

pp. 1205-1228

Author(s):

Yang Liu

Keyword(s):

Liquid Crystal ◽

Global Existence ◽

Nematic Liquid Crystal ◽

Exponential Decay ◽

Strong Solutions ◽

Density Dependent ◽

Nematic Liquid Crystal Flows

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On the Cauchy problem of 3D nonhomogeneous incompressible nematic liquid crystal flows with vacuum

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020234 ◽

2020 ◽

Vol 19 (11) ◽

pp. 5219-5238

Author(s):

Yang Liu ◽

◽

Xin Zhong ◽

Keyword(s):

Cauchy Problem ◽

Liquid Crystal ◽

Nematic Liquid Crystal ◽

The Cauchy Problem ◽

Nematic Liquid Crystal Flows

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Global strong solutions for the incompressible nematic liquid crystal flows with density-dependent viscosity coefficient

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.02.044 ◽

2018 ◽

Vol 462 (2) ◽

pp. 1381-1397 ◽

Author(s):

Yang Liu

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Strong Solutions ◽

Viscosity Coefficient ◽

Density Dependent ◽

Nematic Liquid Crystal Flows ◽

Global Strong Solutions ◽

Dependent Viscosity

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