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An $n$-populations model for traffic flow

Published online by Cambridge University Press:  24 October 2003

SYLVIE BENZONI-GAVAGE  and
RINALDO M. COLOMBO
SYLVIE BENZONI-GAVAGE
Affiliation:
CNRS & ENS Lyon, 46, allée d'Italie, 69364 Lyon Cedex 07, France
RINALDO M. COLOMBO
Affiliation:
Department of Mathematics, Brescia University, Via Valotti 9, 25133 Brescia, Italy
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Abstract

We present an $n$-population generalization of the Lighthill–Whitham and Richards traffic flow model. This model is analytically interesting because of several non-standard features. For instance, it leads to non-classical shocks and enjoys an unexpected stability in spite of the presence of umbilic points. Furthermore, while satisfying all the minimal ‘common sense’ requirements, it also allows for a description of phenomena often neglected by other models, such as overtaking.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 14 , Issue 5 , October 2003 , pp. 587 - 612
Copyright
© 2003 Cambridge University Press

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