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 other quantities. Then we discuss stability in L-infinity norm of such solutions. Finally, we prove existence of entropic solutions to the Cauchy problem when the road network has only one junction.