Conservation versus balance laws in traffic flow

被引：4

作者：

Bagnerini, P ^{[1
]}

Colombo, RM ^{[1
]}

Corli, A ^{[1
]}

Pedretti, S ^{[1
]}

机构：

[1] Univ Ferrara, Dept Math, I-44100 Ferrara, Italy

来源：

TRAFFIC AND GRANULAR FLOW '03 | 2005年

关键词：

hyperbolic balance laws; temple systems; invariant domains;

D O I：

10.1007/3-540-28091-X_22

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

This note discusses the role of source terms in the modeling of vehicular traffic through conservation laws. As is well known, a source term in the equation for the vehicular density may represent entries or exits. When a second conservation laws is present, suitable source terms may describe various inhomogeneities of the road, such as ascents, descents or fog banks. In each of these cases, we provide an analytical framework. Finally, numerical experiments show specific phenomena that may not be reproduced by purely conservative models.

引用

页码：235 / 240

页数：6

共 9 条

[1] Resurrection of "second order" models of traffic flow [J].