Low Mach Number Limit of a Compressible Non-Isothermal Nematic Liquid Crystals Model

被引：5

作者：

Fan, Jishan ^{[1
]}

Li, Fucai ^{[2
]}

机构：

[1] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Jiangsu, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2019年 / 39卷 / 02期

关键词：

compressible non-isothermal liquid crystals; bounded domain; low Mach number limit; 76N10; 35Q30; 35Q35; INCOMPRESSIBLE LIMIT; WELL-POSEDNESS; WEAK SOLUTIONS; EQUATIONS; STOKES; FLOWS;

D O I：

10.1007/s10473-019-0210-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the low Mach number limit of a compressible non-isothermal model for nematic liquid crystals in a bounded domain. We establish the uniform estimates with respect to the Mach number, and thus prove the convergence to the solution of the incompressible model for nematic liquid crystals.

引用

页码：449 / 460

页数：12

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