On the role of source terms in continuum traffic flow models

被引：20
作者：
Bagnerini, Patrizia
Colombo, Rinaldo M.
Corli, Andrea
机构：
[1] Univ Brescia, Dept Math, I-25133 Brescia, Italy
[2] Univ Genoa, Dept Math, I-16146 Genoa, Italy
[3] Univ Ferrara, Dept Math, I-44100 Ferrara, Italy
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2006年 / 44卷 / 9-10期
关键词：
continuum traffic flow models; systems of balance laws; temple systems;
D O I：
10.1016/j.mcm.2006.02.019
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We introduce some models for vehicular traffic flow based on hyperbolic balance laws. We focus in particular on source terms for modeling highway entries and exits or local changes of the traffic flow due to inhomogeneities of the road. Rigorous well-posedness results and numerical investigations are presented. We show in particular how real phenomena (e.g. the formation of a queue) that are not captured by models based on systems of conservation laws are instead observable with our models. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：917 / 930
页数：14
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