Linear stability of the sub-to-super inviscid transonic stationary wave for gas flow in a nozzle of varying area
type: Item
instance of: scholarly article
title: Linear stability of the sub-to-super inviscid transonic stationary wave for gas flow in a nozzle of varying area
zbMATH Open document ID: 1319.35191
author: Cheng-Hsiung Hsu
author: Ying-Chieh Lin
author: Weishi Liu
author: John M. Hong
published in: Journal of Differential Equations
publication date: 2013-02-28T00:00:00Z
review text: This paper studies the linear stability of the sub-to super inviscid transonic stationary wave of a one-dimensional model of isentropic compressible flows through a nozzle of varying area. By using the geometric singular perturbation approach, the authors show that the sub-to super inviscid transonic stationary wave is physically relevant in the sense that it is \(L^ \infty\) linearly stable on any bounded space interval under some assumption on velocity.
reviewed by: Cheng He
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76H05
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 76B10
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 6140137
zbMATH Keywords: geometric singular perturbation theory
zbMATH Keywords: sub-to super inviscid transonic stationary wave
zbMATH Keywords: Sobolev's embedding theorem
MaRDI profile type: Publication
full work available at URL: j.jde.2012.11.011
OpenAlex ID: W2064364397
DOI: 10.1016/J.JDE.2012.11.011
description: scientific article; zbMATH DE number 6140137