LOCAL WELL-POSEDNESS TO THE 2D CAUCHY PROBLEM OF NON-ISOTHERMAL NONHOMOGENEOUS NEMATIC LIQUID CRYSTAL FLOWS WITH VACUUM AT INFINITY

被引：0

作者：

Chen, Hong ^{[1
]}

Zhong, Xin ^{[1
]}

机构：

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

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2022年 / 21卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Non-isothermal nonhomogeneous nematic liquid crystal flows; local well-posedness; 2D Cauchy problem; vacuum at infinity; NAVIER-STOKES EQUATIONS; EXISTENCE; BOUNDARY;

D O I：

10.3934/cpaa.2022093

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the Cauchy problem of non-isothermal nonhomogeneous nematic liquid crystal flows in R-2 with zero density at infinity. By spatial weighted energy method and a Hardy type inequality, we show the local existence and uniqueness of strong solutions provided that the initial density and the gradient of orientation decay not too slowly at infinity.

引用

页码：3141 / 3169

页数：29

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