Divergence-measure fields, sets of finite perimeter, and conservation laws
type: Item
instance of: scholarly article
title: Divergence-measure fields, sets of finite perimeter, and conservation laws
zbMATH Open document ID: 1073.35156
author: Gui-Qiang Chen
author: Monica Torres
published in: Archive for Rational Mechanics and Analysis
publication date: 2005-04-14T00:00:00Z
review text: The authors analyze divergence-measure fields in \(L^\infty\) over sets of finite perimeter. They introduce the notion of normal traces over boundaries and establish the Gauss-Green formula. The notion of normal traces is shown to be consistent with the notion introduced by \textit{G.-Q. Chen} and \textit{H. Frid} [Arch. Ration. Mech. Anal. 147, No. 2, 89--118 (1999; Zbl 0942.35111)]. In the last section the theory is applied to the initial-boundary-value problem for hyperbolic conservation laws.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 49Q15
Mathematics Subject Classification ID: 28A75
Mathematics Subject Classification ID: 35L50
zbMATH DE Number: 2155992
zbMATH Keywords: divergence-measure fields
zbMATH Keywords: sets of finite perimeter
zbMATH Keywords: normal traces
zbMATH Keywords: Gauss-Green formula
zbMATH Keywords: conservation laws
zbMATH Keywords: initial-boundary-value problem
Wikidata QID: Q57386497
reviewed by: Evgeniy Panov
MaRDI profile type: Publication
full work available at URL: s00205-004-0346-1
OpenAlex ID: W2108603931
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DOI: 10.1007/S00205-004-0346-1
description: scientific article; zbMATH DE number 2155992