Notes on Liouville-type theorems for the 3D compressible nematic liquid crystal equations

被引:0
|
作者
Zhang, Jie [1 ]
Wang, Shu [2 ,3 ]
Ji, Xiang [1 ]
机构
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou, Peoples R China
[2] Beijing Univ Technol, Sch Math, Beijing, Peoples R China
[3] Beijing Univ Technol, Sch Math, Beijing 100124, Peoples R China
关键词
Liouville-type theorems; Lorentz space; stationary nematic liquid crystal equations; NAVIER-STOKES EQUATIONS; HARMONIC MAPS; REGULARITY;
D O I
10.1002/mma.9956
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note, we investigate steady compressible nematic liquid crystal flows in Double-struck capital R3$$ {\mathrm{\mathbb{R}}} circumflex 3 $$. We establish Liouville-type theorems for smooth solutions (rho,u,d)$$ \left(\rho, u,d\right) $$ that fulfill specific conditions within Lorentz spaces.
引用
收藏
页码:7046 / 7055
页数:10
相关论文
共 50 条
  • [1] Notes on Anisotropic Liouville-type Theorems for 3D Stationary Nematic Liquid Crystal Equations
    Jie Zhang
    Shu Wang
    Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46
  • [2] Notes on Anisotropic Liouville-type Theorems for 3D Stationary Nematic Liquid Crystal Equations
    Zhang, Jie
    Wang, Shu
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2023, 46 (06)
  • [3] Liouville-type theorems for the 3D compressible magnetohydrodynamics equations
    Wu, Fan
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, 64
  • [4] On Liouville-type theorems for the stationary nematic liquid crystal equations
    Zhang J.
    Wang S.
    Wu F.
    Zeitschrift fur Angewandte Mathematik und Physik, 2023, 74 (06):
  • [5] Liouville-Type Theorems for the 3D Stationary MHD Equations
    Zhang, Hui
    Zu, Qian
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2024, 21 (04)
  • [6] A Liouville-type theorem for the 3D primitive equations
    Peralta-Salas, D.
    Slobodeanu, R.
    PHYSICA D-NONLINEAR PHENOMENA, 2023, 453
  • [7] On Liouville-type theorems for the 2D stationary MHD equations
    De Nitti, Nicola
    Hounkpe, Francis
    Schulz, Simon
    NONLINEARITY, 2022, 35 (02) : 870 - 888
  • [8] Some Liouville-Type Results for the 3D Incompressible MHD Equations
    Peng Wang
    Zhengguang Guo
    The Journal of Geometric Analysis, 2024, 34
  • [9] Liouville-type theorems for the stationary MHD equations in 2D
    Wang, Wendong
    Wang, Yuzhao
    NONLINEARITY, 2019, 32 (11) : 4483 - +
  • [10] Some Liouville-Type Results for the 3D Incompressible MHD Equations
    Wang, Peng
    Guo, Zhengguang
    JOURNAL OF GEOMETRIC ANALYSIS, 2024, 34 (02)