A singularly perturbed problem for stable supersonic flow
type: Item
instance of: scholarly article
title: A singularly perturbed problem for stable supersonic flow
zbMATH Open document ID: 0941.34009
published in: Applied Mathematics. Series B (English Edition)
publication date: 2000-07-28T00:00:00Z
review text: The author studies the steady-state shock layer solution of a singularly perturbed boundary value problem modeling transonic flow in a nonuniform duct. Lower and upper bounds of the shock location are derived for a special form of the cross-sectional area of the duct. The asymptotic behavior of the solution is given using the method of differential inequalities. Similar and more precise results have already been obtained by \textit{K. Chang} and \textit{F. Howes} [Nonlinear singular perturbation phenomena: theory and applications. Appl. Math. Sci. 56, New York etc.: Springer-Verlang (1984; Zbl 0559.34013)].
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 76H05
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34A40
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76N20
zbMATH DE Number: 1367974
zbMATH Keywords: singular perturbation
zbMATH Keywords: boundary value problem
zbMATH Keywords: asymptotic estimation
author: Jiaqi Mo
reviewed by: Adriana Bohé
MaRDI profile type: Publication
full work available at URL: s11766-999-0021-2
OpenAlex ID: W1132211
cites work: Singular perturbation for a boundary value problem of fourth order nonlinear differential equation
cites work: A singularly perturbed nonlinear boundary value problem
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cites work: Q3497366
cites work: Nonlinear singular perturbation phenomena: theory and applications
cites work: Perturbation methods in applied mathematics
cites work: Boundary and Corner Layer Behavior in Singularly Perturbed Semilinear Systems of Boundary Value Problems
DOI: 10.1007/S11766-999-0021-2
description: scientific article; zbMATH DE number 1367974