NON-LOCAL MULTI-CLASS TRAFFIC FLOW MODELS

被引：29

作者：

Chiarello, Felisia Angela ^{[1
]}

Goatin, Paola ^{[1
]}

机构：

[1] Univ Cote dAzur, Inria Sophia Antipolis Mediterranee, CNRS, LJAD, 2004 Route Lucioles,BP 93, F-06902 Sophia Antipolis, France

来源：

NETWORKS AND HETEROGENEOUS MEDIA | 2019年 / 14卷 / 02期

关键词：

System of conservation laws; non-local flux; macroscopic traffic flow models; finite volume schemes; multi-class model; WELL-POSEDNESS; WAVES;

D O I：

10.3934/nhm.2019015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence for small times of weak solutions for a class of non-local systems in one space dimension, arising in traffic modeling. We approximate the problem by a Godunov type numerical scheme and we provide uniform L-infinity and BV estimates for the sequence of approximate solutions, locally in time. We finally present some numerical simulations illustrating the behavior of different classes of vehicles and we analyze two cost functionals measuring the dependence of congestion on traffic composition.

引用

页码：371 / 387

页数：17

共 16 条

[11] ON KINEMATIC WAVES .2. A THEORY OF TRAFFIC FLOW ON LONG CROWDED ROADS [J].