Diffusive-dispersive traveling waves and kinetic relations. I: Nonconvex hyperbolic conservation laws
type: Item
instance of: scholarly article
title: Diffusive-dispersive traveling waves and kinetic relations. I: Nonconvex hyperbolic conservation laws
zbMATH Open document ID: 1001.35082
author: Nabil Bedjaoui
author: Philippe G. LeFloch
published in: Journal of Differential Equations
publication date: 2002-07-04T00:00:00Z
review text: This paper deals with the effect of vanishing diffusion and dispersion on the solution of hyperbolic or hyperbolic-elliptic systems of conservation laws. Searching for travelling wave solutions, the authors establish general results of existence, uniqueness, monotonicity, and asymptotic behaviour. They also derive many detailed properties of the kinetic relation arising in the diffusive-dispersive limit. Part II has been published in Proc. R. Soc. Edinb., Sect. A, Math. 132, No. 3, 545-565 (2002; Zbl 1082.35104).
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 1763742
zbMATH Keywords: vanishing diffusion
zbMATH Keywords: dispersion
zbMATH Keywords: hyperbolic-elliptic systems
zbMATH Keywords: conservation laws
zbMATH Keywords: travelling wave solutions
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: monotonicity
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: diffusive-dispersive limit
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: jdeq.2000.4009
OpenAlex ID: W1640432653
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DOI: 10.1006/JDEQ.2000.4009
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description: scientific article; zbMATH DE number 1763742