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

Florent Berthelin | Zendy; Damien Broizat | Zendy

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

Author(s) -

Florent Berthelin,

Damien Broizat

Publication year - 2012

Publication title -

kinetic and related models

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.987

H-Index - 28

eISSN - 1937-5093

pISSN - 1937-5077

DOI - 10.3934/krm.2012.5.697

Subject(s) - jams , constraint (computer aided design) , piecewise , limit (mathematics) , traffic flow (computer networking) , flow (mathematics) , traffic model , microscopic traffic flow model , computer science , mathematics , mathematical optimization , statistical physics , physics , traffic generation model , mathematical analysis , geometry , real time computing , computer network , computer security , political science , law

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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