A convex entropy for a hyperbolic system with relaxation
type: Item
instance of: scholarly article
title: A convex entropy for a hyperbolic system with relaxation
zbMATH Open document ID: 0853.35066
published in: Journal of Differential Equations
publication date: 1996-07-09T00:00:00Z
review text: We explicitly construct a convex entropy function for a hyperbolic system with relaxation. This entropy is defined in the sense of \textit{G.-Q. Chen}, \textit{C. D. Levermore} and \textit{T.-P. Liu} [Commun. Pure Appl. Math. 47, No. 6, 787-830 (1994; Zbl 0806.35112)], which resembles Boltzman's H-theorem for kinetic equations. This construction follows the idea of \textit{I. Suliciu's} [Int. J. Eng. Sci. 28, No. 8, 829-841 (1990; Zbl 0738.73007)] energy function for a rate-type mixed hyperbolic-elliptic system. Such an entropy will be useful in proving the entropy property of the relaxation schemes introduced by the author and \textit{Z. Xin} [Commun. Pure Appl. Math. 48, No. 3, 235-276 (1995; Zbl 0826.65078)] for conservation laws.
reviewed by: Pierre Hillion
Mathematics Subject Classification ID: 35L40
Mathematics Subject Classification ID: 82C40
Mathematics Subject Classification ID: 74Hxx
zbMATH DE Number: 881703
zbMATH Keywords: relaxation scheme
zbMATH Keywords: entropy
author: Shi Jin
MaRDI profile type: Publication
full work available at URL: jdeq.1996.0063
OpenAlex ID: W2027207331
DOI: 10.1006/JDEQ.1996.0063
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description: scientific article; zbMATH DE number 881703