Kinetic derivation of Aw-Rascle-Zhang-type traffic models with driver-assist vehicles

DOI10.1007/s10955-021-02862-7OpenAlexW3120831389MaRDI QIDQ2067204

Mattia Zanella, Giacomo Dimarco, Andrea Tosin

Publication date: 17 January 2022

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.04066

zbMATH Keywords

optimal controltraffic modelsBoltzmann-Enskog kinetic descriptiondriver-assist vehiclessecond order hydrodynamic models

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Integro-partial differential equations (45K05) Traffic problems in operations research (90B20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Computational methods for problems pertaining to operations research and mathematical programming (90-08) Integro-partial differential equations (35R09) Boltzmann equations (35Q20) PDEs in connection with control and optimization (35Q93) PDEs in connection with mathematical programming (35Q90) PDE constrained optimization (numerical aspects) (49M41) Traffic and pedestrian flow models (76A30)

Related Items (2)

Macroscopic limits of non-local kinetic descriptions of vehicular traffic ⋮ A Hierarchy of Kinetic Discrete-Velocity Models for Traffic Flow Derived from a Nonlocal Prigogine–Herman Model

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