An extension of Glimm's method to inhomogeneous strictly hyperbolic systems of conservation laws by ``weaker than weak'' solutions of the Riemann problem
type: Item
instance of: scholarly article
title: An extension of Glimm's method to inhomogeneous strictly hyperbolic systems of conservation laws by ``weaker than weak'' solutions of the Riemann problem
zbMATH Open document ID: 1093.35048
author: John M. Hong
published in: Journal of Differential Equations
publication date: 2006-03-20T00:00:00Z
review text: The author extends the Glimm's method to inhomogeneous strictly hyperbolic systems \(u_t+f(a,u)_x=a'g(a,u)\), where \(a=a(x)\) is supposed to be a Lipschitz continuous function of finite total variation. Firstly, the author modifies the Lax technique to construct generalized solutions of the Riemann problem, which are further used as building blocks of the Glimm's scheme.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35L45
Mathematics Subject Classification ID: 35D05
zbMATH DE Number: 5013615
zbMATH Keywords: hyperbolic systems of conservation laws
zbMATH Keywords: weak solutions
zbMATH Keywords: Riemann problem
zbMATH Keywords: Glimm's method
zbMATH Keywords: Lax technique
reviewed by: Evgeniy Panov
MaRDI profile type: Publication
full work available at URL: j.jde.2005.06.016
OpenAlex ID: W1967161947
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DOI: 10.1016/J.JDE.2005.06.016
description: scientific article; zbMATH DE number 5013615