APMay 26, 2016
A macroscopic traffic flow model with phase transitions and local point constraints on the flowMassimiliano D. Rosini, Benyahia Mohamed Ramiz
The two phase model for vehicular traffic flows recently appeared in \cite{goatin2006aw} and \cite{BenyahiaRosini01} is endowed with a point constraint on the flow to allow for the modelling of phenomena such as the effects of toll booths along a road. We describe in this paper two Riemann solvers for this model upon which an ulterior study of the cauchy problem should rely.