From Heterogeneous Microscopic Traffic Flow Models to Macroscopic Models-Reference-Cited by-同舟云学术

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From Heterogeneous Microscopic Traffic Flow Models to Macroscopic Models

Published:2021-01 Issue:1 Volume:53 Page:309-322
ISSN:0036-1410
Container-title:SIAM Journal on Mathematical Analysis
language:en
Short-container-title:SIAM J. Math. Anal.

Author:

Cardaliaguet Pierre^ORCID,Forcadel Nicolas^ORCID

Funder

Agence Nationale de la Recherche

Conseil RÃ©gional de Haute Normandie

European Regional Development Fund

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics,Analysis

Link

https://epubs.siam.org/doi/pdf/10.1137/20M1314410

Reference19 articles.

1. A Rigorous Treatment of a Follow-the-Leader Traffic Model with Traffic Lights Present

2. Devil's staircase and order without periodicity in classical condensed matter

3. The twist map, the extended Frenkel-Kontorova model and the devil's staircase

4. The discrete Frenkel-Kontorova model and its extensions

5. Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A class of germs arising from homogenization in traffic flow on junctions;Journal of Hyperbolic Differential Equations;2024-06

2. Effect of dynamic safety distance of heterogeneous traffic flows on ship traffic efficiency: A prediction and simulation approach;Ocean Engineering;2024-02

3. Microscopic Derivation of a Traffic Flow Model with a Bifurcation;Archive for Rational Mechanics and Analysis;2024-01-19

4. Model Predictive Control-Based Multivariable Controller for Traffic Flows in Automated Freeway Systems;IEEE Intelligent Transportation Systems Magazine;2023-03

5. Mean-field limit of a hybrid system for multi-lane car-truck traffic;Networks and Heterogeneous Media;2023

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