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Paper detail

A macroscopic traffic flow model with phase transitions and local point constraints on the flow

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.

preprint2016arXivOpen access
Massimiliano D. RosiniBenyahia Mohamed Ramiz
math.APmath.NA
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Massimiliano D. RosiniBenyahia Mohamed Ramiz

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