Global well-posedness to the Cauchy problem of 2D compressible nematic liquid crystal flows with large initial data and vacuum

被引：0

作者：

Zhong, Xin ^{[1
]}

Zhou, Xuan ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

MATHEMATISCHE ANNALEN | 2024年 / 390卷 / 01期

基金：

中国国家自然科学基金;

关键词：

76A15; 76N10; 35Q35; NAVIER-STOKES EQUATIONS; LARGE-TIME BEHAVIOR; CLASSICAL-SOLUTIONS; WEAK SOLUTIONS; HARMONIC MAPS; EXISTENCE; ENERGY;

D O I：

10.1007/s00208-023-02794-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study compressible nematic liquid crystal flows with the bulk viscosity being a power function of the density (lambda=p(beta)) on the whole two-dimensional (2D) plane. Under a geometric angle condition for the initial direction field, we show the global existence and uniqueness of strong solutions provided that beta>(4)(3). It should be noticed that there is no other restrictions on the size of initial data and the initial density allows vacuum states.

引用

页码：1541 / 1581

页数：41

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