This paper is concerned with a fluidodynamic model for traffic flow. More precisely, we consider a single conservation law, deduced from the conservation of the number of cars, defined on a road network that is a collection of roads with junctions. The evolution problem is underdetermined at junctions, hence we choose to have some fixed rules for the distribution of traffic plus an optimization criteria for the flux. We prove existence of solutions to the Cauchy problem and we show that the Lipschitz continuous dependence by initial data does not hold. Our method is based on wave front tracking approach, see {[4].}

Garavello, M., Piccoli, B. (2007). A fluidodynamic model for traffic in a road network. In Traffic and granular flow '05 (pp.383-392). Springer [10.1007/978-3-540-47641-2_34].

A fluidodynamic model for traffic in a road network

GARAVELLO, MAURO;
2007

Abstract

This paper is concerned with a fluidodynamic model for traffic flow. More precisely, we consider a single conservation law, deduced from the conservation of the number of cars, defined on a road network that is a collection of roads with junctions. The evolution problem is underdetermined at junctions, hence we choose to have some fixed rules for the distribution of traffic plus an optimization criteria for the flux. We prove existence of solutions to the Cauchy problem and we show that the Lipschitz continuous dependence by initial data does not hold. Our method is based on wave front tracking approach, see {[4].}
slide + paper
CONSERVATION-LAWS; FLOW
English
6th International Conference on Traffic and Granular Flow
Traffic and granular flow '05
978-3-540-47640-5
2007
383
392
none
Garavello, M., Piccoli, B. (2007). A fluidodynamic model for traffic in a road network. In Traffic and granular flow '05 (pp.383-392). Springer [10.1007/978-3-540-47641-2_34].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/37061
Citazioni
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 0
Social impact