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Kinetic derivation of a Hamilton-Jacobi traffic flow model

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Publication:390093
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DOI10.4310/CMS.2013.v11.n3.a4zbMath1282.76162arXiv1202.5186MaRDI QIDQ390093

Raul Borsche, Marc Kimathi, Axel Klar

Publication date: 22 January 2014

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5186

zbMATH Keywords

Hamilton-Jacobi equationsmacroscopic equationstraffic flowkinetic derivation


Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Markov renewal processes, semi-Markov processes (60K15) Traffic problems in operations research (90B20)


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A Hierarchy of Kinetic Discrete-Velocity Models for Traffic Flow Derived from a Nonlocal Prigogine–Herman Model ⋮ A Nonlinear Discrete Velocity Relaxation Model For Traffic Flow



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