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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:479

Article

Liu, Qiao¹  Dou, Changsheng² 

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

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

关键词: Compressible nematic liquid crystal flow;    Bounded domain;    Global existence;    Low Mach number limit;    Energy estimate;   

DOI  :  10.1016/j.jmaa.2019.04.007

来源: Elsevier

【 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.

【 授权许可】

Free