Compensated compactness for a class of hyperbolic systems of \(p\geq 3\) conservation laws
type: Item
instance of: scholarly article
title: Compensated compactness for a class of hyperbolic systems of \(p\geq 3\) conservation laws
zbMATH Open document ID: 0834.35081
DOI: 10.4171/RMI/161
author: Sylvie Benzoni-Gavage
author: Denis Serre
published in: Revista Matemática Iberoamericana
publication date: 1996-04-01T00:00:00Z
full work available at URL: https://eudml.org/doc/39465
review text: The authors consider a nonlinear coupled system of a finite number of strictly hyperbolic conservation laws where some of the equations are genuinely nonlinear whereas the others are of Temple's type, i.e. there exist invariant submanifolds of the niveau surfaces. Using the method of compensated compactness and special techniques for the analysis of Temple type systems they can show results of the following type: If \((u_\varepsilon)\) is a sequence of solutions of a parabolic regularization (vanishing viscosity method) or a Godunov scheme for the given system lying in a compact subset of \(p\)-dimensional Euclidean space (where \(p\) is the number of conservation laws) there exists a subsequence which converges weakly to an entropy solution of the system for \(\varepsilon\to 0\).
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 722307
zbMATH Keywords: vanishing viscosity method
zbMATH Keywords: compensated compactness
zbMATH Keywords: Temple type systems
zbMATH Keywords: pseudo-entropies
zbMATH Keywords: isothermal two-phase flow
reviewed by: Horst Lange
MaRDI profile type: Publication
OpenAlex ID: W2070692985
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description: scientific article; zbMATH DE number 722307