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

Li Liu; Gang Xu; Hairong Yuan

doi:10.1016/j.aim.2016.01.002

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

Li Liu
, Gang Xu
, Hairong Yuan^*

^*此作品的通讯作者

数学科学学院

Shanghai University of International Business and Economics
Jiangsu University

科研成果: 期刊稿件 › 文章 › 同行评审

38 引用（Scopus）

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 R3 under multidimensional perturbations of boundary conditions.

源语言	英语
页（从-至）	696-757
页数	62
期刊	Advances in Mathematics
卷	291
DOI	https://doi.org/10.1016/j.aim.2016.01.002
出版状态	已出版 - 19 3月 2016

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title = "Stability of spherically symmetric subsonic flows and transonic shocks under multidimensional perturbations",

abstract = "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 R3 under multidimensional perturbations of boundary conditions.",

keywords = "Decomposition, Elliptic-hyperbolic composite-mixed type, Euler system, Nonlocal elliptic operator, Stability, Subsonic flow, Three-dimensional, Transonic shock, Uniqueness, Venttsel condition",

author = "Li Liu and Gang Xu and Hairong Yuan",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2016",

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day = "19",

doi = "10.1016/j.aim.2016.01.002",

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T1 - Stability of spherically symmetric subsonic flows and transonic shocks under multidimensional perturbations

AU - Liu, Li

AU - Xu, Gang

AU - Yuan, Hairong

PY - 2016/3/19

Y1 - 2016/3/19

N2 - 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 R3 under multidimensional perturbations of boundary conditions.

AB - 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 R3 under multidimensional perturbations of boundary conditions.

KW - Decomposition

KW - Elliptic-hyperbolic composite-mixed type

KW - Euler system

KW - Nonlocal elliptic operator

KW - Stability

KW - Subsonic flow

KW - Three-dimensional

KW - Transonic shock

KW - Uniqueness

KW - Venttsel condition

UR - https://www.scopus.com/pages/publications/84954541618

U2 - 10.1016/j.aim.2016.01.002

DO - 10.1016/j.aim.2016.01.002

M3 - 文章

AN - SCOPUS:84954541618

SN - 0001-8708

VL - 291

SP - 696

EP - 757

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

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

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