General phase transition models for vehicular traffic with point constraints on the flow
Analysis of PDEs
2018-02-14 v1
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.
Keywords
Cite
@article{arxiv.1608.04932,
title = {General phase transition models for vehicular traffic with point constraints on the flow},
author = {Edda Dal Santo and Massimiliano D. Rosini and Nikodem Dymski and Mohamed Benyahia},
journal= {arXiv preprint arXiv:1608.04932},
year = {2018}
}