Low Mach number limit of full Navier-Stokes equations in a 3D bounded domain

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:258

Article

Dou, Changsheng¹  Jiang, Song²  Ou, Yaobin³ 

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

[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[3] Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China

关键词: Low Mach number limit;    Full Navier-Stokes equations;    Slip boundary conditions;    Bounded domain;    Polytropic gas;   

DOI  :  10.1016/j.jde.2014.09.017

来源: Elsevier

【 摘 要 】

This paper studies the low Mach number limit of the full compressible Navier-Stokes equations in a three-dimensional bounded domain where the velocity field and the temperature satisfy the slip boundary conditions and the Neumann boundary condition, respectively. The uniform estimates in the Mach number for the strong solutions are derived in a short time interval, provided that the initial density and temperature are close to the constant states and satisfy the bounded derivative conditions. Thus the solutions of the full compressible Navier-Stokes equations converge to the one of the isentropic incompressible Navier-Stokes equations, as the Mach number vanishes. (C) 2014 Published by Elsevier Inc.

【 授权许可】

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