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^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

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.

Original language	English
Pages (from-to)	696-757
Number of pages	62
Journal	Advances in Mathematics
Volume	291
DOIs	https://doi.org/10.1016/j.aim.2016.01.002
State	Published - 19 Mar 2016

Keywords

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

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10.1016/j.aim.2016.01.002

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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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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

Abstract

Keywords

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