A 2x2 hyperbolic traffic flow model

被引：64

作者：

Colombo, RM ^{[1
]}

机构：

[1] Univ Brescia, Dept Math, I-25123 Brescia, Italy

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2002年 / 35卷 / 5-6期

关键词：

traffic flow; conservation laws; macroscopic vehicular traffic model; hyperbolic systems; partial differential equations;

D O I：

10.1016/S0895-7177(02)80029-2

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Anew traffic flow model is presented. It accounts for various qualitative features of the evolution of the density and speed of cars along a crowded road. The model consists of a 2 x 2 system of nonlinear hyperbolic conservation laws generating a Cauchy problem which is well posed for all reasonable initial data. A similar result can be proved for the initial boundary value problem. The presence of a speed limit is also considered. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：683 / 688

页数：6

共 12 条

[1] Continuous dependence for 2x2 conservation laws with boundary [J].