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 behavior 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 proved by means of an approximation of the solution by a sequence of clusters. Finally, numerical simulations are produced.
A model for the formation and evolution of traffic jams / F.BERTHELIN; P. DEGOND; DELITALA M.E.; M. RASCLE. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 187, 2(2008), pp. 185-220.
|Titolo:||A model for the formation and evolution of traffic jams|
|Data di pubblicazione:||2008|
|Appare nelle tipologie:||1.1 Articolo in rivista|