Incompressible limit of the compressible nematic liquid crystal flows in a bounded domain with perfectly conducting boundary

被引：1

作者：

Liu, Qiao ^{[1
]}

Dou, Changsheng ^{[2
]}

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

[2] Capital Univ Econ & Business, Sch Stat, Beijing 100070, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 479卷 / 02期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Compressible nematic liquid crystal flow; Bounded domain; Global existence; Low Mach number limit; Energy estimate; MACH NUMBER LIMIT; NAVIER-STOKES EQUATIONS; MAGNETOHYDRODYNAMIC EQUATIONS; WEAK SOLUTIONS; SYSTEMS; ENERGY;

D O I：

10.1016/j.jmaa.2019.04.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the asymptotic behavior of the regular solution to a simplified Ericksen-Leslie model for the compressible nematic liquid crystal flow in a bounded smooth domain in R-2 as the Mach number tends to zero. The evolution system consists of the compressible Navier-Stokes equations coupled with the transported heat flow for the averaged molecular orientation. We suppose that the Navier-Stokes equations are characterized by a Navier's slip boundary condition, while the transported heat flow is subject to Neumann boundary condition. By deriving a differential inequality with certain decay property, the low Mach limit of the solutions is verified for all time, provided that the initial data are well-prepared. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：1417 / 1440

页数：24

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