A blow-up criterion for the compressible nematic liquid crystal flows in three dimensions

被引：0
|
作者：
Liu, Junchen [1 ]
Wang, Xiuqing [1 ,3 ]
Qin, Yuming [2 ,4 ]
机构：
[1] Kunming Univ Sci & Technol, Fac Sci, Kunming, Peoples R China
[2] Donghua Univ, Inst Nonlinear Sci, Dept Math, Shanghai, Peoples R China
[3] Kunming Univ Sci & Technol, Fac Sci, Kunming 650500, Peoples R China
[4] Donghua Univ, Inst Nonlinear Sci, Dept Math, Shanghai 201620, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 04期
基金：
中国国家自然科学基金;
关键词：
blow-up criterion; compressible nematic liquid crystal flows; strong solutions; EQUATIONS;
D O I：
10.1002/mma.9742
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the strong solutions under three different types of boundary problems to a compressible nematic liquid crystals system in three dimensions. We establish the blow-up criterion in terms of the density and the gradient of direction field, provided the shear viscosity and bulk viscosity coefficients of the fluid satisfy an additional relation (i.e., mu > lambda). In particular, the initial vacuum is allowed.
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页码：2205 / 2225
页数：21
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