\(L^1\) continuous dependence property for systems of conservation laws
type: Item
instance of: scholarly article
title: \(L^1\) continuous dependence property for systems of conservation laws
zbMATH Open document ID: 1021.35064
author: Jiaxin Hu
author: Philippe G. LeFloch
published in: Archive for Rational Mechanics and Analysis
publication date: 2003-03-18T00:00:00Z
review text: This paper is devoted to the discontinuous solutions of the Cauchy problem for a hyperbolic system of conservation laws: \[ \partial_tu+\partial_xf(u)=0,\quad u(x,t)\in{\mathcal U},\tag{1} \] where \(\mathcal U\) is an open subset of \(\mathbb{R}^N\) and the flux-function \(f:{\mathcal U}\to\mathbb{R}^N\) is smooth and strictly hyperbolic. The authors study the uniqueness and \(L^1\) continuous dependence of entropy solutions for (1).
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35L45
zbMATH DE Number: 1441235
zbMATH Keywords: discontinuous solutions
zbMATH Keywords: entropy solutions
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: s002050050193
OpenAlex ID: W2094864716
DOI: 10.1007/S002050050193
description: scientific article; zbMATH DE number 1441235