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

Yang Liu

doi:10.1002/mma.6341

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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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 ◽

Cited By ~ 2

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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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 well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows

Journal of Differential Equations ◽

10.1016/j.jde.2016.08.044 ◽

2016 ◽

Vol 261 (11) ◽

pp. 6521-6569 ◽

Cited By ~ 12

Author(s):

Qiao Liu ◽

Shengquan Liu ◽

Wenke Tan ◽

Xin Zhong

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Well Posedness ◽

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 ◽

Cited By ~ 7

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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Global well-posedness for the incompressible Navier–Stokes equations with density-dependent viscosity coefficient

Journal of Differential Equations ◽

10.1016/j.jde.2015.03.011 ◽

2015 ◽

Vol 259 (5) ◽

pp. 1722-1742 ◽

Cited By ~ 38

Author(s):

Jianwen Zhang

Keyword(s):

Stokes Equations ◽

Viscosity Coefficient ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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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 Well-Posedness and Temporal Decay Estimates for the 3D Nematic Liquid Crystal Flows

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-018-0373-6 ◽

2018 ◽

Vol 20 (4) ◽

pp. 1459-1485 ◽

Cited By ~ 2

Author(s):

Qiao Liu

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Well Posedness ◽

Decay Estimates ◽

Temporal Decay ◽

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 ◽

Cited By ~ 6

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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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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Global well-posedness of non-isothermal inhomogeneous nematic liquid crystal flows

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2020161 ◽

2017 ◽

Vol 22 (11) ◽

pp. 0-0

Author(s):

Dongfen Bian ◽

◽

Yao Xiao ◽

◽

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Well Posedness ◽

Nematic Liquid Crystal Flows

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