Nonexistence of global weak solution with only one stable supersonic conic shock wave for the steady supersonic Euler flow past a perturbed cone
type: Item
instance of: scholarly article
title: Nonexistence of global weak solution with only one stable supersonic conic shock wave for the steady supersonic Euler flow past a perturbed cone
zbMATH Open document ID: 1252.35201
DOI: 10.1090/S0033-569X-2012-01279-8
author: Xu Gang
author: Yin Huicheng
published in: Quarterly of Applied Mathematics
publication date: 2012-06-18T00:00:00Z
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35Q31
Mathematics Subject Classification ID: 35L72
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 6047285
zbMATH Keywords: full Euler system
zbMATH Keywords: stream line
MaRDI profile type: Publication
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full work available at URL: s0033-569x-2012-01279-8
OpenAlex ID: W2020765799
review text: The paper deals with the study of the supersonic conic shock wave problem for the 3-D steady full Euler system when a uniform supersonic incoming flow hits an infinitely long and curved sharp conic body. The authors use the standard theory on the second-order quasilinear hyperbolic equations to show that, unlike the case of the potential equation, due to the essential influence of the rotations for the Euler flow, the global weak solution of the Euler system with one stable supersonic conic shock wave does not exist.
reviewed by: Adrian Carabineanu
description: scientific article; zbMATH DE number 6047285