Stability of spherically symmetric subsonic flows and transonic shocks under multidimensional perturbations

被引：27
作者：
Liu, Li [1 ]
Xu, Gang [2 ]
Yuan, Hairong [3 ,4 ]
机构：
[1] Shanghai Univ Int Business & Econ, Shanghai 201620, Peoples R China
[2] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China
[3] East China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
[4] East China Normal Univ, Shanghai Key Lab Pure Math & Math Practice, Shanghai 200241, Peoples R China
来源：
ADVANCES IN MATHEMATICS | 2016年 / 291卷
基金：
中国国家自然科学基金;
关键词：
Euler system; EULER EQUATIONS; UNIQUENESS; FRONTS; DUCT;
D O I：
10.1016/j.aim.2016.01.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop a method that works in general product Riemannian manifold to decompose the three-dimensional steady full compressible Euler system, which is of elliptic hyperbolic composite-mixed type for subsonic flows. The method is applied to show stability of spherically symmetric subsonic flows and transonic shocks in space R-3 under multidimensional perturbations of boundary conditions. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：696 / 757
页数：62
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