A center manifold technique for tracing viscous waves
type: Item
instance of: scholarly article
title: A center manifold technique for tracing viscous waves
zbMATH Open document ID: 1017.35071
author: Stefano Bianchini
author: Alberto Bressan
published in: Communications on Pure and Applied Analysis
publication date: 2002-11-20T00:00:00Z
review text: This paper is concerned with uniform BV bounds and stability estimates solutions of a special \(2\times 2\) hyperbolic system of conservation laws with viscosity; it is shown that any solution can be locally decomposed as the sum of 2 viscous traveling profiles. An appropriate method based on the center manifold theorem together with a geometric interpretation of the decomposition is given. This yields the global existence, stability and uniform BV bounds for every solution with suitably small BV data. It is an interesting piece of work that should attract the attention of workers on hyperbolic conservation laws with viscosity.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 37L10
zbMATH DE Number: 1833239
zbMATH Keywords: global existence
zbMATH Keywords: stability
zbMATH Keywords: uniform BV bounds
zbMATH Keywords: small BV data
MaRDI profile type: Publication
full work available at URL: cpaa.2002.1.161
OpenAlex ID: W2089124639
DOI: 10.3934/CPAA.2002.1.161
description: scientific article; zbMATH DE number 1833239