On fluido-dynamic models for urban traffic

Mauro Garavello; Benedetto Piccoli

doi:10.3934/nhm.2009.4.107

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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, and
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: February 29, 2008

Revised: September 30, 2008

Published: February 2009

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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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Mathematics Subject Classification: Primary: 35L65.

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