Generalized wavefront expansion. II. The propagation of step shocks
type: Item
instance of: scholarly article
title: Generalized wavefront expansion. II. The propagation of step shocks
zbMATH Open document ID: 0628.76074
DOI: 10.1016/0165-2125(88)90003-0
published in: Wave Motion
publication date: 1988-01-01T00:00:00Z
review text: [For part I, see the authors, ibid. 8, 243-258 (1986; Zbl 0609.76066).] The concept of step shock for a system of conservation laws is introduced. It generalizes the plane constant shock solution to the propagation into a slowly varying medium and to the multi-dimensional case. A transport equation which describes the propagation for short times is derived, and a scheme is shown for deriving the Taylor expansion in time of the shock solution.
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 35L40
zbMATH DE Number: 4022907
zbMATH Keywords: step shock
zbMATH Keywords: conservation laws
zbMATH Keywords: constant shock solution
zbMATH Keywords: slowly varying medium
zbMATH Keywords: transport equation
zbMATH Keywords: Taylor expansion
author: Angelo Marcello Anile
author: Giovanni Russo
MaRDI profile type: Publication
full work available at URL: 0165-2125(88)90003-0
OpenAlex ID: W2015448731
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description: scientific article; zbMATH DE number 4022907