Multiple viscous wave fan profiles for Riemann solutions of hyperbolic systems of conservation laws
type: Item
instance of: scholarly article
title: Multiple viscous wave fan profiles for Riemann solutions of hyperbolic systems of conservation laws
zbMATH Open document ID: 1058.35158
author: Weishi Liu
published in: Discrete and Continuous Dynamical Systems
publication date: 2004-11-01T00:00:00Z
review text: The author considers a strictly hyperbolic system of conservation laws in one space dimension and studies the viscous wave fan admissibility criteria of Riemann solutions. In particular, the cases of structurally unstable Riemann solutions are investigated. Based on results of bifurcation theory for dynamical systems the author proves that such solutions admit viscous wave fun profiles.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 37D15
Mathematics Subject Classification ID: 37G25
zbMATH DE Number: 2113140
zbMATH Keywords: one space dimension
zbMATH Keywords: Riemann problem
zbMATH Keywords: structural stability
zbMATH Keywords: singular perturbations
reviewed by: Evgeniy Panov
MaRDI profile type: Publication
full work available at URL: dcds.2004.10.871
OpenAlex ID: W1974713586
DOI: 10.3934/DCDS.2004.10.871
description: scientific article; zbMATH DE number 2113140