A model for the evolution of traffic jams in multi-lane

Florent Berthelin 1, 2 Damien Broizat 1
2 COFFEE - COmplex Flows For Energy and Environment
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR7351
Abstract : In [7], Berthelin, Degond, Delitala and Rascle introduced a traffic flow model describing the formation and the dynamics of traffic jams. This model consists of a Pressureless Gas Dynamics system under a maximal constraint on the density and is derived through a singular limit of the Aw-Rascle model. In the present paper we propose an improvement of this model by allowing the road to be multi-lane piecewise. The idea is to use the maximal constraint to modelize the number of lanes. We also add in the model a parameter {\alpha} which modelize the various speed limitations according to the number of lanes. We present the dynamical behaviour of clusters (traffic jams) and by approximation with such solutions, we obtain an existence result of weak solutions for any initial data.
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Contributor : Florent Berthelin <>
Submitted on : Thursday, October 17, 2013 - 5:00:57 PM
Last modification on : Thursday, May 3, 2018 - 1:32:55 PM

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  • HAL Id : hal-00874398, version 1
  • ARXIV : 1108.0590


Florent Berthelin, Damien Broizat. A model for the evolution of traffic jams in multi-lane. Kinetic and Related Models , AIMS, 2012, 5 (4), pp.697-728. ⟨hal-00874398⟩



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