Low Mach number limit of viscous polytropic fluid flows

被引：19

作者：

Ou, Yaobin ^{[1
,2
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China

[2] Basque Ctr Appl Math, E-48160 Derio, Basque Country, Spain

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 251卷 / 08期

基金：

中国博士后科学基金;

关键词：

Singular limit; Navier-Stokes equations; Mach number; Non-isentropic; COMPRESSIBLE EULER EQUATION; NAVIER-STOKES EQUATIONS; INCOMPRESSIBLE LIMIT; SINGULAR LIMITS; IDEAL FLOW; BOUNDARY; SYSTEMS; EXISTENCE; DOMAINS;

D O I：

10.1016/j.jde.2011.07.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the singular limit of the non-isentropic Navier-Stokes equations with zero thermal coefficient in a two-dimensional bounded domain as the Mach number goes to zero. A uniform existence result is obtained in a time interval independent of the Mach number, provided that the initial data. satisfy the "bounded derivative conditions", that is, the time derivatives up to order two are bounded initially, and Navier's slip boundary condition is imposed. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2037 / 2065

页数：29

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