In this paper we present a second-order model based on the Aw, Rascle, Zhang model
(ARZ) for vehicular traffics subject to point constraints on the flow, its motivation being, for …

We reproduce the capacity drop phenomenon at a road merge by implementing a non-local
point constraint at the junction in a first order traffic model. We call capacity drop the situation …

In this paper we present a new approach to the solution to a generalized version of Hughes'
models for pedestrian movements based on a follow-the-leader many particle …

In this paper we model pedestrian flows evacuating a narrow corridor through an exit by a
one-dimensional hyperbolic conservation law with a point constraint in the spirit of [Colombo …

In this paper we investigate numerically the model for pedestrian traffic proposed in [B.
Andreianov, C. Donadello, MD Rosini, Math. Models Methods Appl. Sci. 24 (2014) 2685 …

STABILITY ESTIMATES FOR SCALAR CONSERVATION LAWS WITH MOVING FLUX
CONSTRAINTS Maria Laura Delle Monache Paola Goatin 1. Introduc Page 1 NETWORKS …

In this paper, we present a general phase transition model that describes the evolution of
vehicular traffic along a one‐lane road. Two different phases are taken into account …

We introduce and analyze a class of models with nonlocal point constraints for traffic flow
through bottlenecks, such as exit doors in the context of pedestrians traffic and toll gates in …

We revisit the entropy formulation and the wave-front tracking construction of physically
admissible solutions of the Aw-Rascle and Zhang (ARZ)" second-order" model for vehicular …

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 …