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
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.
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页码:1541 / 1581
页数:41
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