Oscillation waves in Riemann problems inside elliptic regions for conservation laws of mixed type
type: Item
instance of: scholarly article
title: Oscillation waves in Riemann problems inside elliptic regions for conservation laws of mixed type
zbMATH Open document ID: 0842.35057
DOI: 10.1007/BF00917877
author: Yanyan Li
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1996-01-10T00:00:00Z
review text: The authors show that the approximate solutions of the Riemann problem for some systems of conservation laws with the initial data inside an elliptic region may have ``persistent oscillations'', which give rise to new types of measure-valued waves other than shocks and rarefraction waves. They also conclude that ``any local disturbance of a constant state inside the elliptic region will result a nontrivial (distributional or, more generally, measure-valued) solution which is independent of any particular choice of disturbance.'' Two analytical results for testing the convergence of finite difference schemes and for obtaining the expectation values of the state functions respectively, are proved.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 35M10
zbMATH DE Number: 831613
zbMATH Keywords: conservation laws of mixed type
zbMATH Keywords: Riemann problem
zbMATH Keywords: measure-valued waves
reviewed by: Ioan I. Vrabie
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 831613