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arXiv · 1608.04932

General phase transition models for vehicular traffic with point constraints on the flow

Edda Dal Santo·Massimiliano D. Rosini·Nikodem Dymski·Mohamed Benyahia
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Abstract

We generalize the phase transition model studied in [R. Colombo. Hyperbolic phase transition in traffic flow.\ SIAM J.\ Appl.\ Math., 63(2):708-721, 2002], that describes the evolution of vehicular traffic along a one-lane road. Two different phases are taken into account, according to whether the traffic is low or heavy. The model is given by a scalar conservation law in the \emph{free-flow} phase and by a system of two conservation laws in the \emph{congested} phase. In particular, we study the resulting Riemann problems in the case a local point constraint on the flux of the solutions is enforced.

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Edda Dal Santo, Massimiliano D. Rosini, Nikodem Dymski, Mohamed Benyahia. 2016-08-17. General phase transition models for vehicular traffic with point constraints on the flow. https://doi.org/10.1002/mma.4478

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