Uniqueness of weak solutions to systems of conservation laws
type: Item
instance of: scholarly article
title: Uniqueness of weak solutions to systems of conservation laws
zbMATH Open document ID: 0903.35039
author: Alberto Bressan
author: Philippe G. LeFloch
published in: Archive for Rational Mechanics and Analysis
publication date: 1999-01-05T00:00:00Z
review text: The authors present a uniqueness theorem for the solutions to hyperbolic systems of conservation laws which is valid within the same class of functions where global existence theorems are known. The proof is based on the fact (shown in this paper), that any weak entropy admissible solution \(u\) coincides with the corresponding trajectory of the standard Riemann semigroup, provided that mild assumptions on the variation of \(u\) along space-like segments hold.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35A07
zbMATH DE Number: 1136732
zbMATH Keywords: weak entropy admissible solution
zbMATH Keywords: Riemann semigroup
reviewed by: Alexandr Doktor
MaRDI profile type: Publication
full work available at URL: s002050050068
OpenAlex ID: W2005887108
DOI: 10.1007/S002050050068
description: scientific article; zbMATH DE number 1136732