15 citations · 15 across the 3 of their papers we have counts for
3 papers
An existence result for a constrained two-phase transition model with metastable phase for vehicular traffic
Mohamed Benyahia, Carlotta Donadello, Nikodem Dymski +1
In this paper we study a phase transition model for vehicular traffic flows. Two phases are taken into account, according to whether the traffic is light or heavy. We assume that t…
General phase transition models for vehicular traffic with point constraints on the flow
Edda Dal Santo, Massimiliano D. Rosini, Nikodem Dymski +1
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 evolu…
Entropy solutions for a traffic model with phase transitions
Mohamed Benyahia, Massimiliano Daniele Rosini
In this paper, we consider the two phases macroscopic traffic model introduced in [P. Goatin, The Aw-Rascle vehicular traffic flow with phase transitions, Mathematical and Computer…