Boundary layers for compressible Navier-Stokes equations with outflow boundary condition

被引：7
|
作者：
Wang, Jing [1 ,2 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] CUHK Shatin, Inst Math Sci, Hong Kong, Hong Kong, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 248卷 / 05期
关键词：
Compressible Navier-Stokes equations; Noncharacteristic boundary layers; Outflow boundary condition; Degenerate viscosity matrix; Asymptotic analysis; Energy estimate; VISCOUS PERTURBATIONS; SYSTEMS; STABILITY;
D O I：
10.1016/j.jde.2009.12.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we Study the asymptotic relation between the solutions to the initial boundary value problem of the one-dimensional compressible full Navier-Stokes equations with outflow boundary condition and the associated Euler equations. We assume all the three characteristics to the corresponding Euler equations are all negative up to some small time, then we prove the existence and the stability of the boundary layers as long as the strength of the boundary layers is suitably small. (c) 2009 Elsevier Inc. All rights reserved.
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页码：1143 / 1174
页数：32
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