Road networks with phase transitions

Rinaldo M. Colombo, Paola Goatin, Benedetto Piccoli

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

This paper is devoted to a hyperbolic 2-phase model for traffic flow on a network. The model is rigorously described and the existence of solutions is proved, without any restriction on the network geometry.

Original languageEnglish (US)
Pages (from-to)85-106
Number of pages22
JournalJournal of Hyperbolic Differential Equations
Volume7
Issue number1
DOIs
StatePublished - Mar 1 2010

Fingerprint

Road Network
Phase Transition
Traffic Flow
Existence of Solutions
Restriction
Model

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics(all)

Keywords

  • Continuum traffic models
  • Hyperbolic conservation laws on networks
  • Phase transitions
  • Riemann problem

Cite this

Colombo, Rinaldo M. ; Goatin, Paola ; Piccoli, Benedetto. / Road networks with phase transitions. In: Journal of Hyperbolic Differential Equations. 2010 ; Vol. 7, No. 1. pp. 85-106.
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Road networks with phase transitions. / Colombo, Rinaldo M.; Goatin, Paola; Piccoli, Benedetto.

In: Journal of Hyperbolic Differential Equations, Vol. 7, No. 1, 01.03.2010, p. 85-106.

Research output: Contribution to journalArticle

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