Fokker-planck asymptotics for traffic flow models

Michael Herty; Lorenzo Pareschi

doi:10.3934/krm.2010.3.165

Fokker-planck asymptotics for traffic flow models

Michael Herty^*, Lorenzo Pareschi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

40 Citations (Scopus)

Abstract

Starting from microscopic interaction rules we derive kinetic models of Fokker-Planck type for vehicular traffic flow. The derivation is based on taking a suitable asymptotic limit of the corresponding Boltzmann model. As particular cases, the derived models comprise existing models. New Fokker- Planck models are also given and their differences to existing models are highlighted. Finally, we report on numerical experiments.

Original language	English
Pages (from-to)	165-179
Number of pages	15
Journal	Kinetic and Related Models
Volume	3
Issue number	1
DOIs	https://doi.org/10.3934/krm.2010.3.165
Publication status	Published - Mar 2010

Keywords

Fokker
Planck equations
Traffic flow modeling

ASJC Scopus subject areas

Numerical Analysis
Modelling and Simulation

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10.3934/krm.2010.3.165

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title = "Fokker-planck asymptotics for traffic flow models",

abstract = "Starting from microscopic interaction rules we derive kinetic models of Fokker-Planck type for vehicular traffic flow. The derivation is based on taking a suitable asymptotic limit of the corresponding Boltzmann model. As particular cases, the derived models comprise existing models. New Fokker- Planck models are also given and their differences to existing models are highlighted. Finally, we report on numerical experiments.",

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AU - Pareschi, Lorenzo

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AB - Starting from microscopic interaction rules we derive kinetic models of Fokker-Planck type for vehicular traffic flow. The derivation is based on taking a suitable asymptotic limit of the corresponding Boltzmann model. As particular cases, the derived models comprise existing models. New Fokker- Planck models are also given and their differences to existing models are highlighted. Finally, we report on numerical experiments.

KW - Fokker

KW - Planck equations

KW - Traffic flow modeling

UR - https://www.scopus.com/pages/publications/84869213691

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DO - 10.3934/krm.2010.3.165

M3 - Article

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JO - Kinetic and Related Models

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IS - 1

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Fokker-planck asymptotics for traffic flow models

Abstract

Keywords

ASJC Scopus subject areas

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