Crowd dynamics and conservation laws with non-local constraints and capacity drop

Abstract : In this paper we model pedestrian flows evacuating a narrow corridor through an exit by a one-dimensional hyperbolic conservation law with a non-local constraint. Existence and stability results for the Cauchy problem with Lipschitz constraint are achieved by a procedure that combines the wave-front tracking algorithm with the operator splitting method. The Riemann problem with piecewise constant constraint is discussed in details, stressing the possible lack of uniqueness, self-similarity and $\Lloc1$-continuity. One explicit example of application is provided.
Type de document :
Article dans une revue
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2014, 24 (13), pp. 2685-2722. 〈10.1142/S0218202514500341〉
Liste complète des métadonnées

Littérature citée [33 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-00816449
Contributeur : Carlotta Donadello <>
Soumis le : mardi 23 avril 2013 - 10:55:44
Dernière modification le : vendredi 6 juillet 2018 - 15:18:04
Document(s) archivé(s) le : jeudi 25 juillet 2013 - 11:22:31

Fichiers

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

Licence


Distributed under a Creative Commons Paternité - Pas d'utilisation commerciale 4.0 International License

Identifiants

Collections

Citation

Boris Andreianov, Carlotta Donadello, Massimiliano Rosini. Crowd dynamics and conservation laws with non-local constraints and capacity drop. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2014, 24 (13), pp. 2685-2722. 〈10.1142/S0218202514500341〉. 〈hal-00816449v2〉

Partager

Métriques

Consultations de la notice

243

Téléchargements de fichiers

169