General constrained conservation laws. Application to pedestrian flow modeling

Chalons, Christophe; Paris Diderot, Sorbonne Paris Cité, Laboratoire Jacques-Louis Lions, UMR 7598, UPMC, CNRS, F-75205 Paris, ,Univ.; Goatin, Paola; Seguin, Nicolas; Sophia Antipolis - Méditerranée, EPI OPALE, 2004, route des Lucioles - BP 93, 06902 Sophia Antipolis Cedex, ,INRIA; Univ Paris 06 and CNRS UMR 7598, Laboratoire J.-L. Lions, 75005 Paris, ,UPMC

doi:10.3934/nhm.2013.8.433

Public

General constrained conservation laws. Application to pedestrian flow modeling

Published in Networks and Heterogeneous Media • Jan 1, 2013

Authors:

Christophe Chalons

,Univ. Paris Diderot, Sorbonne Paris Cité, Laboratoire Jacques-Louis Lions, UMR 7598, UPMC, CNRS, F-75205 Paris

Paola Goatin

Abstract

We extend the results on conservation laws with local flux constraint obtained in [2, 12] to general (non-concave) flux functions and non-classical solutions arising in pedestrian flow modeling [15]. We first provide a well-posedness result based on wave-front tracking approximations and the Kružhko...

Subject

Conservation law

Classification of discontinuities

Basis (linear algebra)

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