On fluido-dynamic models for urban traffic

Mauro Garavello; Benedetto Piccoli; Mauro Garavello; Benedetto Piccoli

doi:10.3934/nhm.2009.4.107

Networks and Heterogeneous Media

2009, Volume 4, Issue 1: 107-126. doi: 10.3934/nhm.2009.4.107

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On fluido-dynamic models for urban traffic

Mauro Garavello ^{1
,},
Benedetto Piccoli ^{2
,}

1.
Dipartimento di Scienze e Tecnologie Avanzate, Università del Piemonte Orientale “A. Avogadro”, Via Bellini 25/G, 15100 Alessandria
2.
I.A.C., C.N.R., Via dei Taurini 19, 00185 Roma

Received: 01 March 2008 Revised: 01 October 2008
Primary: 35L65.

The aim of this paper is to address the following questions: which models, among fluido-dynamic ones, are more appropriate to describe urban traffic? While a rich debate was developed for the complicate dynamics of highway traffic, some basic problems of urban traffic are not always appropriately discussed. We analyze many recent, and less recent, models focusing on three basic properties. The latter are necessary to reproduce correctly queue formation at lights and junctions, and their backward propagation on an urban network.
- car traffic,
- fluido-dynamic models,
- urban traffic,
- networks
Citation: Mauro Garavello, Benedetto Piccoli. On fluido-dynamic models for urban traffic[J]. Networks and Heterogeneous Media, 2009, 4(1): 107-126. doi: 10.3934/nhm.2009.4.107

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Abstract

The aim of this paper is to address the following questions: which models, among fluido-dynamic ones, are more appropriate to describe urban traffic? While a rich debate was developed for the complicate dynamics of highway traffic, some basic problems of urban traffic are not always appropriately discussed. We analyze many recent, and less recent, models focusing on three basic properties. The latter are necessary to reproduce correctly queue formation at lights and junctions, and their backward propagation on an urban network.
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