Ondes soniques. (Sonic waves)
type: Item
instance of: scholarly article
title: Ondes soniques. (Sonic waves)
zbMATH Open document ID: 0728.35068
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1991-01-01T00:00:00Z
review text: The author considers hyperbolic systems of conservation laws in space dimension \(n\geq 1\). The aim of this paper is to investigate sonic waves, i.e. solutions with discontinuous first order derivatives; that can be regarded as natural extension of the investigation of Majda on shock fronts, i.e. discontinuous solutions. Basic examples are the sonic waves for the Euler systems of gas dynamics. The obtained results are very general, including a detailed statement for the Cauchy problem; tools of the proofs are classical a priori estimates and a suitable variant of the paradifferential calculus of Bony.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 35S05
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 4202872
zbMATH Keywords: conservation laws
zbMATH Keywords: sonic waves
zbMATH Keywords: shock fronts
zbMATH Keywords: Cauchy problem
zbMATH Keywords: paradifferential calculus
author: Guy Métivier
reviewed by: Luigi Rodino
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4202872