Global stability to steady supersonic solutions of the 1-D compressible Euler equations with frictions

Fenglun Wei; Jianli Liu; Hairong Yuan

doi:10.1016/j.jmaa.2020.124761

Global stability to steady supersonic solutions of the 1-D compressible Euler equations with frictions

Fenglun Wei
, Jianli Liu^*
, Hairong Yuan

^*Corresponding author for this work

School of Mathematical Sciences

Shanghai University

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

10 Scopus citations

Abstract

In this paper, using wave decomposition and establishing uniform a priori C¹ estimates, we proved global stability of steady supersonic Fanno flows under small perturbations of initial-boundary values in a one-dimensional rectilinear finite duct with constant cross-sections. The flow is governed by the one-space dimensional compressible Euler equations with a nonlinear damping term representing frictions in the duct. Both isentropic and non-isentropic polytropic gases are considered.

Original language	English
Article number	124761
Journal	Journal of Mathematical Analysis and Applications
Volume	495
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2020.124761
State	Published - 15 Mar 2021

Keywords

Compressible Euler equations
Fanno flow
Friction
Stability
Steady solution
Supersonic flow

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10.1016/j.jmaa.2020.124761

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title = "Global stability to steady supersonic solutions of the 1-D compressible Euler equations with frictions",

abstract = "In this paper, using wave decomposition and establishing uniform a priori C1 estimates, we proved global stability of steady supersonic Fanno flows under small perturbations of initial-boundary values in a one-dimensional rectilinear finite duct with constant cross-sections. The flow is governed by the one-space dimensional compressible Euler equations with a nonlinear damping term representing frictions in the duct. Both isentropic and non-isentropic polytropic gases are considered.",

keywords = "Compressible Euler equations, Fanno flow, Friction, Stability, Steady solution, Supersonic flow",

author = "Fenglun Wei and Jianli Liu and Hairong Yuan",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2021",

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T1 - Global stability to steady supersonic solutions of the 1-D compressible Euler equations with frictions

AU - Wei, Fenglun

AU - Liu, Jianli

AU - Yuan, Hairong

PY - 2021/3/15

Y1 - 2021/3/15

N2 - In this paper, using wave decomposition and establishing uniform a priori C1 estimates, we proved global stability of steady supersonic Fanno flows under small perturbations of initial-boundary values in a one-dimensional rectilinear finite duct with constant cross-sections. The flow is governed by the one-space dimensional compressible Euler equations with a nonlinear damping term representing frictions in the duct. Both isentropic and non-isentropic polytropic gases are considered.

AB - In this paper, using wave decomposition and establishing uniform a priori C1 estimates, we proved global stability of steady supersonic Fanno flows under small perturbations of initial-boundary values in a one-dimensional rectilinear finite duct with constant cross-sections. The flow is governed by the one-space dimensional compressible Euler equations with a nonlinear damping term representing frictions in the duct. Both isentropic and non-isentropic polytropic gases are considered.

KW - Compressible Euler equations

KW - Fanno flow

KW - Friction

KW - Stability

KW - Steady solution

KW - Supersonic flow

UR - https://www.scopus.com/pages/publications/85096580917

U2 - 10.1016/j.jmaa.2020.124761

DO - 10.1016/j.jmaa.2020.124761

M3 - 文章

AN - SCOPUS:85096580917

SN - 0022-247X

VL - 495

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

M1 - 124761

ER -

Global stability to steady supersonic solutions of the 1-D compressible Euler equations with frictions

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Keywords

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