Boundary conditions for scalar conservation laws from a kinetic point of view
type: Item
instance of: scholarly article
title: Boundary conditions for scalar conservation laws from a kinetic point of view
zbMATH Open document ID: 0931.35095
DOI: 10.1023/A:1004574814876
published in: Journal of Statistical Physics
publication date: 1999-11-22T00:00:00Z
review text: Boundary conditions for multidimensional scalar conservation laws are obtained in the context of hydrodynamic limits from a kinetic point of view. The initial boundary value kinetic problem is well posed since inward and outward characteristics of the domain can be distinguished. The convergence of the first momentum of the distribution function to an entropy solution of the conservation law is established. Boundary conditions are obtained. The equivalence with the Bardos, Leroux, and Nedelec conditions is studied.
reviewed by: Thomas Sonar
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 82C40
zbMATH DE Number: 1366045
zbMATH Keywords: numerical boundary conditions
zbMATH Keywords: hydrodynamic limits
author: Anne Nouri
author: A. Omrane
author: Jean-Paul Vila
MaRDI profile type: Publication
full work available at URL: a:1004574814876
OpenAlex ID: W129231897
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description: scientific article; zbMATH DE number 1366045