Convergence of approximate solutions of the Cauchy problem for a \(2\times 2\) nonstrictly hyperbolic system of conservation laws
type: Item
instance of: scholarly article
title: Convergence of approximate solutions of the Cauchy problem for a \(2\times 2\) nonstrictly hyperbolic system of conservation laws
zbMATH Open document ID: 0944.65102
DOI: 10.1016/S0377-0427(98)00247-7
author: N. Luis E. León
published in: Journal of Computational and Applied Mathematics
publication date: 2000-09-13T00:00:00Z
review text: A convergence theorem for the Lax-Friedrichs scheme, applied to a nonstrictly hyperbolic and nongenuinely nonlinear system of conservation laws is established. Using the theory of compensated compactness the author proves convergence of a subsequence in the strong topology.
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 1331042
zbMATH Keywords: Cauchy problem
zbMATH Keywords: hyperbolic system
zbMATH Keywords: conservation laws
zbMATH Keywords: Lax-Friedrichs scheme
zbMATH Keywords: convergence
reviewed by: Qin Meng Zhao
MaRDI profile type: Publication
cites work: Q4146022
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full work available at URL: s0377-0427(98)00247-7
OpenAlex ID: W2091055757
description: scientific article; zbMATH DE number 1331042