A MULTILANE MACROSCOPIC TRAFFIC FLOW MODEL FOR SIMPLE NETWORKS

被引：11

作者：

Goatin, Paola ^{[1
]}

Rossi, Elena ^{[1
,2
]}

机构：

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

[2] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via R Cozzi 55, I-20126 Milan, Italy

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2019年 / 79卷 / 05期

关键词：

macroscopic multilane traffic flow model on networks; Godunov scheme; well-posedness; CONSERVATION-LAWS; HIERARCHY; SCHEME; WAVES;

D O I：

10.1137/19M1254386

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the well-posedness of a system of balance laws inspired by [H. Holden and N. H. Risebro, SIAM T. Math. Anal., 51 (2019), pp. 3694-3713], describing macroscopically the traffic flow on a multilane road network. Motivated by real applications, we allow us for the the presence of space discontinuities both in the speed law and in the number of lanes. This allows us to describe a number of realistic situations. Existence of solutions follows from compactness results on a sequence of Godunov's approximations, while L-1-stability is obtained by the doubling of variables technique. Some numerical simulations illustrate the behavior of solutions in sample cases.

引用

页码：1967 / 1989

页数：23

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