A model for the formation and evolution of traffic jams
A model for the formation and evolution of traffic jams
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DOI：
10.1007/s00205-007-0061-9
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发表时间：
2008-02-01
影响因子：
2.5
通讯作者：
Rascle, M.
中科院分区：
文献类型：
--
作者：
Berthelin, F.;Degond, P.;Rascle, M.
本文建立并分析了一个描述交通阻塞形成和动态的交通流模型。它是由一个在最大密度约束下的无压气体动力学系统组成的，是通过Aw-Rascle模型的奇异极限推导出来的。从这个分析中，我们推断出集群（或交通堵塞）的特定动态行为，定义为达到密度限制的间隔。利用聚类序列逼近解的方法，证明了一类一般初始数据的存在性。最后进行了数值模拟。
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.