Existence of semi-discrete shocks
type: Item
instance of: scholarly article
title: Existence of semi-discrete shocks
zbMATH Open document ID: 0997.35036
author: Sylvie Benzoni-Gavage
author: Pierre Huot
published in: Discrete and Continuous Dynamical Systems
publication date: 2002-11-13T00:00:00Z
review text: A semi-discretization in space of a system of conservation laws is considered to construct discrete shocks. An existence theorem is proved for discrete shock profiles of small strength. An associated infinite-dimensional dynamical system is studied through the center manifold theorem. The semi-discrete shocks are proved to be heteroclinic orbits on the center manifold exhibited. The results are valid for the Godunov and Lax-Friedrichs schemes.
reviewed by: V. V. Shelukhin
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 34K19
Mathematics Subject Classification ID: 34K17
zbMATH DE Number: 1736525
zbMATH Keywords: conservation laws
zbMATH Keywords: shock profiles of small length
zbMATH Keywords: heteroclinic orbits on the center manifold
zbMATH Keywords: Godunov and Lax-Friedrichs schemes
MaRDI profile type: Publication
full work available at URL: dcds.2002.8.163
OpenAlex ID: W2322889364
DOI: 10.3934/DCDS.2002.8.163
description: scientific article; zbMATH DE number 1736525