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.
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页码：7046 / 7055
页数：10
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