A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws
type: Item
instance of: scholarly article
title: A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws
zbMATH Open document ID: 1010.35026
DOI: 10.1016/S0362-546X(01)00753-2
author: Kenneth H. Karlsen
author: N. H. Risebro
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2002-08-25T00:00:00Z
review text: The paper deals with the investigation of Hamilton-Jacobi equations which are closely related to scalar conservation laws. Thereby, a proof concerned with the equivalence between the unique viscosity solution of the Hamilton-Jacobi equation and the unique entropy solution of the corresponding scalar conservation law is presented. Furthermore, a front tracking algorithm for Hamilton-Jacobi equations in one dimension is derived.
Mathematics Subject Classification ID: 35F25
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 1788023
zbMATH Keywords: front tracking algorithm
MaRDI profile type: Publication
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full work available at URL: s0362-546x(01)00753-2
OpenAlex ID: W2063785035
description: scientific article; zbMATH DE number 1788023