THE WAVE INTERACTIONS OF AN IMPROVED AW-RASCLE-ZHANG MODEL WITH A NON-GENUINELY NONLINEAR FIELD

被引：6

作者：

Jiang, Weifeng ^{[1
]}

Chen, Tingting ^{[2
]}

Li, Tong ^{[3
]}

Wang, Zhen ^{[4
,5
]}

机构：

[1] China Jiliang Univ, Coll Sci, Key Lab Intelligent Mfg Qual Big Data Tracing & An, Hangzhou 310018, Peoples R China

[2] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China

[3] Univ Iowa, Dept Math, Iowa City, IA 52246 USA

[4] Wuhan Univ Technol, Ctr Math Sci, Wuhan 430070, Peoples R China

[5] Wuhan Univ Technol, Dept Math, Wuhan 430070, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2023年 / 28卷 / 02期

基金：

中国国家自然科学基金;

关键词：

  Conservation laws; Riemann problem; improved Aw-Rascle-Zhang model; wave interactions; traffic flow; non-convex diagram; TRAFFIC FLOW; CONSERVATION-LAWS; RIEMANN SOLUTIONS; 2ND-ORDER MODELS; EULER EQUATIONS; PREDICTION; CLUSTERS; LIMIT;

D O I：

10.3934/dcdsb.2022134

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is devoted to the study of the wave interactions of an improved Aw-Rascle-Zhang model with a non-genuinely nonlinear field. The wave interactions between single elementary waves involving the composite wave are analyzed by reviewing the Riemann solutions. Due to the non-genuinely nonlinear field, some new phenomena are found. The rarefaction waves may penetrate the shock waves. As a contact discontinuity interacts with the composite waves, there appear the compression waves which change to a contact discontinuity, then to rarefaction waves. Using the single wave interaction results, we construct the weak solutions of this model with three piecewise constant states. Finally, we give some intuitions to eliminate the "phantom traffic jam".

引用

页码：1528 / 1552

页数：25

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