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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

Global existence and exponential decay of strong solutions for 2D nonhomogeneous micropolar fluids with density-dependent viscosity

Journal of Mathematical Physics ◽

10.1063/5.0055689 ◽

2021 ◽

Vol 62 (6) ◽

pp. 061508

Author(s):

Lingxi Liu ◽

Xin Zhong

Keyword(s):

Global Existence ◽

Exponential Decay ◽

Strong Solutions ◽

Micropolar Fluids ◽

Density Dependent ◽

Dependent Viscosity

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text