Global transonic conic shock wave for the symmetrically perturbed supersonic flow past a cone
type: Item
instance of: scholarly article
title: Global transonic conic shock wave for the symmetrically perturbed supersonic flow past a cone
zbMATH Open document ID: 1155.35062
author: Gang Xu
author: Huicheng Yin
published in: Journal of Differential Equations
publication date: 2008-12-12T00:00:00Z
review text: The authors study the global existence and stability of a transonic shock wave solution for the symmetrically perturbed steady supersonic gas past an infinitely long conic body. The flow hits the cone along the axis direction and is described by the steady, polytropic, and isentropic compressible Euler equations. The flow is considered to be a small perturbation of of the constant state. The global existence of the classical solution is proved.
reviewed by: Ilya A. Chernov
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 5382315
zbMATH Keywords: supersonic flow
zbMATH Keywords: potential flow equation
zbMATH Keywords: transonic shock
zbMATH Keywords: twofold conic point
zbMATH Keywords: Sturm-Liouville theorem
zbMATH Keywords: global existence
MaRDI profile type: Publication
full work available at URL: j.jde.2007.12.011
OpenAlex ID: W2002498529
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DOI: 10.1016/J.JDE.2007.12.011
description: scientific article; zbMATH DE number 5382315