Persistence of shocks in ducts

Hairong Yuan

doi:10.1016/j.na.2012.02.008

Persistence of shocks in ducts

Hairong Yuan^*

^*Corresponding author for this work

School of Mathematical Sciences

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

8 Scopus citations

Abstract

We prove local in time existence and stability of shock waves in non-isentropic compressible Euler flows in a two-dimensional straight duct, provided the shock satisfies the uniform stability condition, and the upcoming supersonic flow and the pressure at the exit of the duct, as well as the initial data satisfy certain orders of compatibility and symmetry conditions.

Original language	English
Pages (from-to)	3874-3894
Number of pages	21
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	75
Issue number	9
DOIs	https://doi.org/10.1016/j.na.2012.02.008
State	Published - Jun 2012

Keywords

Duct
Euler equations
Hyperbolic system
Initial-boundary value problem
Persistence
Shock wave

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10.1016/j.na.2012.02.008

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title = "Persistence of shocks in ducts",

abstract = "We prove local in time existence and stability of shock waves in non-isentropic compressible Euler flows in a two-dimensional straight duct, provided the shock satisfies the uniform stability condition, and the upcoming supersonic flow and the pressure at the exit of the duct, as well as the initial data satisfy certain orders of compatibility and symmetry conditions.",

keywords = "Duct, Euler equations, Hyperbolic system, Initial-boundary value problem, Persistence, Shock wave",

author = "Hairong Yuan",

year = "2012",

month = jun,

doi = "10.1016/j.na.2012.02.008",

language = "英语",

volume = "75",

pages = "3874--3894",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

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TY - JOUR

T1 - Persistence of shocks in ducts

AU - Yuan, Hairong

PY - 2012/6

Y1 - 2012/6

N2 - We prove local in time existence and stability of shock waves in non-isentropic compressible Euler flows in a two-dimensional straight duct, provided the shock satisfies the uniform stability condition, and the upcoming supersonic flow and the pressure at the exit of the duct, as well as the initial data satisfy certain orders of compatibility and symmetry conditions.

AB - We prove local in time existence and stability of shock waves in non-isentropic compressible Euler flows in a two-dimensional straight duct, provided the shock satisfies the uniform stability condition, and the upcoming supersonic flow and the pressure at the exit of the duct, as well as the initial data satisfy certain orders of compatibility and symmetry conditions.

KW - Duct

KW - Euler equations

KW - Hyperbolic system

KW - Initial-boundary value problem

KW - Persistence

KW - Shock wave

UR - https://www.scopus.com/pages/publications/84859111361

U2 - 10.1016/j.na.2012.02.008

DO - 10.1016/j.na.2012.02.008

M3 - 文章

AN - SCOPUS:84859111361

SN - 0362-546X

VL - 75

SP - 3874

EP - 3894

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 9

ER -

Persistence of shocks in ducts

Abstract

Keywords

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