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 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 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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Strong solutions to the density-dependent incompressible nematic liquid crystal flows

Journal of Differential Equations ◽

10.1016/j.jde.2015.10.047 ◽

2016 ◽

Vol 260 (4) ◽

pp. 3691-3748 ◽

Author(s):

Jincheng Gao ◽

Qiang Tao ◽

Zheng-an Yao

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Strong Solutions ◽

Density Dependent ◽

Nematic Liquid Crystal Flows

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Time decay rate of global strong solutions to nematic liquid crystal flows in R+3

Journal of Differential Equations ◽

10.1016/j.jde.2019.02.021 ◽

2019 ◽

Vol 267 (3) ◽

pp. 1767-1804 ◽

Author(s):

Jinrui Huang ◽

Changyou Wang ◽

Huanyao Wen

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Strong Solutions ◽

Nematic Liquid Crystal Flows ◽

Global Strong Solutions ◽

Time Decay Rate

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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 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 of the Full Navier--Stokes and $Q$-Tensor System for Nematic Liquid Crystal Flows in Two Dimensions

SIAM Journal on Mathematical Analysis ◽

10.1137/15m1048550 ◽

2016 ◽

Vol 48 (2) ◽

pp. 1368-1399 ◽

Author(s):

Cecilia Cavaterra ◽

Elisabetta Rocca ◽

Hao Wu ◽

Xiang Xu

Keyword(s):

Liquid Crystal ◽

Nematic Liquid Crystal ◽

Strong Solutions ◽

Two Dimensions ◽

Navier Stokes ◽

Nematic Liquid Crystal Flows ◽

Global Strong Solutions

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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 solution to the nematic liquid crystal flows with heat effect

Journal of Differential Equations ◽

10.1016/j.jde.2017.06.019 ◽

2017 ◽

Vol 263 (9) ◽

pp. 5298-5329 ◽

Author(s):

Dongfen Bian ◽

Yao Xiao

Keyword(s):

Liquid Crystal ◽

Global Solution ◽

Nematic Liquid Crystal ◽

Heat Effect ◽

Nematic Liquid Crystal Flows

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