WELL-POSEDNESS OF THE CO-ROTATIONAL BERIS-EDWARDS SYSTEM WITH THE LANDAU-DE GENNES ENERGY IN L 3 uloc ( R 3 )

被引：0
作者：
Liu, Qiao [1 ]
Zhao, Jihong [2 ]
机构：
[1] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
[2] Baoji Univ Arts & Sci, Sch Math & Informat Sci, Baoji 721013, Shaanxi, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2024年 / 44卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Co-rotational Beris-Edwards system; Landau-De Gennes potential; well-posedness; uniqueness; NEMATIC LIQUID-CRYSTALS; Q-TENSOR SYSTEM; NAVIER-STOKES; WEAK SOLUTIONS; GLOBAL EXISTENCE; REGULARITY; UNIQUENESS; MODEL; FLOWS;
D O I：
10.3934/dcds.2024081
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the well-posedness of the 3d co-rotational BerisEdwards system for incompressible nematic liquid crystal flows with the LandauDe Gennes bulk potential. The system under consideration consists of the Navier-Stokes equations for the fluid velocity u, and an evolution equation for the Q-tensor order parameter. We prove the existence of solutions to the Cauchy problem of the system with initial data (u0, Q0) having small L3uloc(R3)-norm of (u0, del Q0). Moreover, the uniqueness of L3uloc-solutions is obtained.
引用
收藏
页码：3878 / 3919
页数：42
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