Traffic Flow on a Road Network Using the Aw-Rascle Model

Traffic Flow on a Road Network Using the Aw-Rascle Model

The article deals with a fluid dynamic model for traffic flow on a road network. This consists of a hyperbolic system of two equations proposed in Aw and Rascle ( 2000 ). A method to solve Riemann problems at junctions is given assigning rules on traffic distributions and maximizations of fluxes and...

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Veröffentlicht in:Communications in partial differential equations 2006-01, Vol.31 (2), p.243-275
Hauptverfasser: Garavello, Mauro, Piccoli, Benedetto
Format: Artikel
Sprache:eng
Schlagworte:
Conservation laws
Road network
Traffic flow
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Zusammenfassung:The article deals with a fluid dynamic model for traffic flow on a road network. This consists of a hyperbolic system of two equations proposed in Aw and Rascle ( 2000 ). A method to solve Riemann problems at junctions is given assigning rules on traffic distributions and maximizations of fluxes and other quantities. Then we discuss stability in L ∞ norm of such solutions. Finally, we prove existence of entropic solutions to the Cauchy problem when the road network has only one junction.
ISSN:0360-5302
1532-4133
DOI:10.1080/03605300500358053