THE CONTINUUM LIMIT OF FOLLOW-THE-LEADER MODELS A SHORT PROOF

被引：24
|
作者：
Holden, Helge [1 ]
Risebro, Nils Henrik [2 ]
机构：
[1] NTNU Norweign Univ Sci & Technol, Dept Math Sci, NO-7491 Trondheim, Norway
[2] Univ Oslo, Dept Math, NO-0316 Oslo, Norway
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 02期
关键词：
Follow-the-Leader model; Lighthill-Whitham-Richards model; traffic flow; continuum limit; conservation laws; TRAFFIC FLOW MODELS; MICRO-MACRO LIMIT; WAVES;
D O I：
10.3934/dcds.2018031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We offer a simple and self-contained proof that the Follow-the-Leader model converges to the Lighthill-Whitham-Richards model for traffic flow.
引用
收藏
页码：715 / 722
页数：8
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