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Traffic Flow Models with Phase Transitions

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Abstract

The theory of hyperbolic conservation laws has been successfully applied to the study of vehicular traffic flows. We present here some models showing phase transitions, that in terms of traffic flows correspond to two distinct behaviors, free or congested.

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Authors and Affiliations

  1. Department of Mathematics, Via Branze 38, 25123, Brescia, Italy

    Rinaldo M. Colombo

  2. Laboratoire d’Analyse Non linéaire Appliquée et Modélisation, I.S.I.T.V., Université du Sud – Toulon – Var, B.P. 56, 83162, La Valette du Var Cedex, France

    Paola Goatin

Authors
  1. Rinaldo M. Colombo
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  2. Paola Goatin
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Correspondence to Rinaldo M. Colombo.

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Colombo, R.M., Goatin, P. Traffic Flow Models with Phase Transitions. Flow Turbulence Combust 76, 383–390 (2006). https://doi.org/10.1007/s10494-006-9026-6

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  • DOI: https://doi.org/10.1007/s10494-006-9026-6

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