Regular Global existence of strong solutions to the isentropic compressible nematic liquid crystal equations in a cuboid domain

被引：0

作者：

Mahmood, Tariq ^{[1
,2
,4
]}

Shang, Zhaoyang ^{[3
,4
]}

机构：

[1] Northwestern Polytech Univ, Sch Math & Stat, Xian 710129, Shaanxi, Peoples R China

[2] Jiangsu Univ, Inst Appl Syst Anal, Zhenjiang 212013, Jiangsu, Peoples R China

[3] Shanghai Lixin Univ Accounting & Finance, Sch Finance, Shanghai 201209, Peoples R China

[4] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 543卷 / 01期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Liquid crystal equations; Small initial condition; Global strong solutions; DEPENDENT INCOMPRESSIBLE-FLOW; LOCAL WELL-POSEDNESS; CLASSICAL-SOLUTIONS; TEMPORAL DECAY; SYMMETRIC-SOLUTIONS; LARGE OSCILLATIONS; HYDRODYNAMIC FLOW; WEAK SOLUTIONS; CAUCHY-PROBLEM; VACUUM;

D O I：

10.1016/j.jmaa.2024.128839

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the initial-boundary value problem of three-dimensional compressible nematic liquid crystal equations in a cuboid domain. We prove that the strong solution exists globally in the time provided that both the initial L(1)norm of the density ||rho(0)|| L(1)and the initial L-3-norm of the gradient of orientation field ||Vd(0)|| L-3 for nematic liquid crystal flow are small enough. The main tools of proving the global well-posedness are some time-weighted a priori estimates designed for the compressible nematic liquid crystal equations.

引用

页数：35

共 62 条

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