The Cauchy problem at a node with buffer

Abstract : We consider the Lighthill-Whitham-Richards traffic flow model on a network composed by an arbitrary number of incoming and outgoing arcs connected together by a node with a buffer. Similar to [M. Herty, J.-P. Lebacque, and S. Moutari. A novel model for intersections of vehicular traffic flow. Netw. Heterog. Media, 4(4):813–826 (electronic), 2009], we define the solution to the Riemann problem at the node and we prove existence and well posedness of solutions to the Cauchy problem, by using the wave-front tracking technique and the generalized tangent vectors.
Type de document :
Article dans une revue
Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2012
Liste complète des métadonnées

Littérature citée [4 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/inria-00556954
Contributeur : Paola Goatin <>
Soumis le : mardi 18 janvier 2011 - 10:53:08
Dernière modification le : vendredi 12 janvier 2018 - 01:55:40
Document(s) archivé(s) le : mardi 19 avril 2011 - 02:52:16

Fichier

GaravelloGoatin.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : inria-00556954, version 1

Collections

Citation

Mauro Garavello, Paola Goatin. The Cauchy problem at a node with buffer. Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2012. 〈inria-00556954〉

Partager

Métriques

Consultations de la notice

528

Téléchargements de fichiers

219