A model for the formation and evolution of traffic jams
نویسندگان
چکیده
In this paper, we establish and analyze a traffic flow model which describes the formation and dynamics of traffic jams. It 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. From this analysis, we deduce the particular dynamical behaviour of clusters (or traffic jams), defined as intervals where the density limit is reached. An existence result for a generic class of initial data is proven by means of an approximation of the solution by a sequence of clusters. Finally, numerical simulations are produced. Acknowledgements: Support by the European network HYKE, funded by the EC as contract HPRN-CT-2002-00282, is acknowledged
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