About: Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel

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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/m2an/2018/volume_52/issue_1/w
Subject	Conservation laws Stability and convergence of numerical methods Lax-Friedrichs scheme Non-local conservation laws
Title	Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel
Date	2018-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/m2an/2018/volume_52/issue_1/m2an170132/m/print http://hub.abes.fr/edp/periodical/m2an/2018/volume_52/issue_1/m2an170132/m/web
related by	http://hub.abes.fr/edp/periodical/m2an/2018/volume_52/issue_1/m2an170132/authorship/1 http://hub.abes.fr/edp/periodical/m2an/2018/volume_52/issue_1/m2an170132/authorship/2
Author	Goatin, Paola Chiarello, Felisia Angela
Abstract	We prove the well-posedness of entropy weak solutions for a class of scalar conservation laws with non-local flux arising in traffic modeling. We approximate the problem by a Lax-Friedrichs scheme and we provide L∞ and BV estimates for the sequence of approximate solutions. Stability with respect to the initial data is obtained from the entropy condition through the doubling of variable technique. The limit model as the kernel support tends to infinity is also studied.
article type	research-article
publisher identifier	m2an170132
Date Copyrighted	2018-01-01(xsd:dateTime)
Rights	© EDP Sciences, SMAI 2018
Rights Holder	EDP Sciences, SMAI
is part of this journal	RAIRO. Analyse numérique
is primary topic of	http://hub.abes.fr/edp/periodical/m2an/2018/volume_52/issue_1/m2an170132/w/record

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