A justification of a LWR model based on a follow the leader description
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Publication:2438043
DOI10.3934/dcdss.2014.7.579zbMath1295.35318OpenAlexW2332511938MaRDI QIDQ2438043
Publication date: 10 March 2014
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2014.7.579
macroscopic traffic modelsmicroscopic traffic modelsmicroscopic to macoscopic limitmulti-population analogue
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Cites Work
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- On the micro-macro limit in traffic flow
- A Rigorous Treatment of a Follow-the-Leader Traffic Model with Traffic Lights Present
- A Hölder continuous ODE related to traffic flow
- Finite Volume Methods for Hyperbolic Problems
- An $n$ -populations model for traffic flow
- Shock Waves on the Highway
- A 2-Phase Traffic Model Based on a Speed Bound
- On kinematic waves II. A theory of traffic flow on long crowded roads