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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 08期

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

页码：7046 / 7055

页数：10

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