Global existence and optimal time decay rate of the solutions to the incompressible biaxial nematic liquid crystals flows in R3

被引：0
|
作者：
Gong, Weihua [1 ]
Lin, Junyu [2 ]
机构：
[1] Guangdong Univ Educ, Sch Math, Guangzhou 510303, Peoples R China
[2] South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2025年 / 76卷 / 01期
关键词：
Liquid crystals; Strong solutions; Long-time behavior; Time decay rate; ASYMPTOTIC-BEHAVIOR; WEAK SOLUTION; REGULARITY; EQUATIONS;
D O I：
10.1007/s00033-024-02399-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is to investigate global existence and optimal time decay rate of the solutions to the incompressible biaxial nematic liquid crystals flows in R3. Firstly, the global existence follows from local existence theory, the uniformly a priori estimate and the continuity argument. Secondly, by using the high- and low-frequency decomposition, we obtain the optimal time decay rates of the velocity and two directors.
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页数：32
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