Boundary coupling of microscopic and first order macroscopic traffic models

Mauro Garavello; Benedetto Piccoli

doi:10.1007/s00030-017-0467-5

Boundary coupling of microscopic and first order macroscopic traffic models

Mauro Garavello, Benedetto Piccoli

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

8 Scopus citations

Abstract

We couple, at a fixed interface, the microscopic Follow the Leader model and the macroscopic Lighthill–Whitham–Richards model, both used for describing vehicular traffic. The coupling is obtained by suitable boundary conditions. We prove existence of solutions for the corresponding Cauchy problem, by using the wave-front tracking method and classical results on ordinary differential equations.

Original language	English (US)
Article number	43
Journal	Nonlinear Differential Equations and Applications
Volume	24
Issue number	4
DOIs	https://doi.org/10.1007/s00030-017-0467-5
State	Published - Aug 1 2017

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

Coupling conditions
Follow the Leader model
Lighthill–Whitham–Richards model
Traffic models

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10.1007/s00030-017-0467-5

Cite this

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abstract = "We couple, at a fixed interface, the microscopic Follow the Leader model and the macroscopic Lighthill–Whitham–Richards model, both used for describing vehicular traffic. The coupling is obtained by suitable boundary conditions. We prove existence of solutions for the corresponding Cauchy problem, by using the wave-front tracking method and classical results on ordinary differential equations.",

keywords = "Coupling conditions, Follow the Leader model, Lighthill–Whitham–Richards model, Traffic models",

author = "Mauro Garavello and Benedetto Piccoli",

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AU - Piccoli, Benedetto

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AB - We couple, at a fixed interface, the microscopic Follow the Leader model and the macroscopic Lighthill–Whitham–Richards model, both used for describing vehicular traffic. The coupling is obtained by suitable boundary conditions. We prove existence of solutions for the corresponding Cauchy problem, by using the wave-front tracking method and classical results on ordinary differential equations.

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KW - Follow the Leader model

KW - Lighthill–Whitham–Richards model

KW - Traffic models

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Boundary coupling of microscopic and first order macroscopic traffic models

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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