Three-dimensional interaction of shocks in irrotational flows
type: Item
instance of: scholarly article
title: Three-dimensional interaction of shocks in irrotational flows
zbMATH Open document ID: 1233.35142
DOI: 10.1142/S1793744211000394
author: Denis Serre
published in: Confluentes Mathematici
publication date: 2011-11-02T00:00:00Z
review text: The author studies the Riemann problem in three dimensions reduced to the problem of interaction of three shocks merging at a point. The flow is steady irrotational, subject to the Chaplygin equation of state. Existence of special waves described by a potential obeying a special free-boundary problem is proved. Existence and uniqueness of the triple interaction is shown. The asymptotics is described.
reviewed by: Ilya A. Chernov
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 5966736
zbMATH Keywords: shock waves
zbMATH Keywords: characteristic boundary-value problem
zbMATH Keywords: Riemann problem
zbMATH Keywords: irrotational steady flow
zbMATH Keywords: Chaplygin equation
MaRDI profile type: Publication
full work available at URL: s1793744211000394
OpenAlex ID: W2027261742
description: scientific article; zbMATH DE number 5966736