On the role of source terms in continuum traffic flow models

Authors:
Patrizia Bagnerini;Rinaldo M. Colombo;Andrea Corli
Affiliations:
Department of Mathematics, University of Genoa, Via Dodecaneso 35, 16146 Genova, Italy;Department of Mathematics, University of Brescia, Via Valotti 9, 25133 Brescia, Italy;Department of Mathematics, University of Ferrara, Via Machiavelli 35, 44100 Ferrara, Italy
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2006

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Abstract

We introduce some models for vehicular traffic flow based on hyperbolic balance laws. We focus in particular on source terms for modeling highway entries and exits or local changes of the traffic flow due to inhomogeneities of the road. Rigorous well-posedness results and numerical investigations are presented. We show in particular how real phenomena (e.g. the formation of a queue) that are not captured by models based on systems of conservation laws are instead observable with our models.