This paper presents a review and critical analysis of the mathematical literature concerning
the modeling of vehicular traffic and crowd phenomena. The survey of models deals with the …

Vehicular traffic is attracting a growing scientific interest because of its connections with
other important problems, like, eg, environmental pollution and congestion of cities. Rational …

This paper aims at indicating research perspectives on the mathematical modeling of crowd
dynamics, pointing on the one hand to insights into the complexity features of pedestrian …

The Aw-Rascle-Zhang (ARZ) model can be interpreted as a generalization of the Lighthill-
Whitham-Richards (LWR) model, possessing a family of fundamental diagram curves, each …

A traffic flow model describing the formation and dynamics of traffic jams was introduced by
Berthelin et al., which consists of a constrained pressureless gas dynamics system and can …

A traffic flow model describing the formation and dynamics of traffic jams was introduced by
Berthelin et al.[“A model for the formation and evolution of traffic jams,” Arch. Ration. Mech …

We prove that the unique entropy solution to a scalar nonlinear conservation law with strictly
monotone velocity and nonnegative initial condition can be rigorously obtained as the large …

We introduce a new model of vehicular traffic flow with phase transitions. The model is
obtained by coupling together the classical Lighthill–Whitham–Richards equation with the …

This is a survey of some results and problems connected with the theory of generalized
solutions of quasi-linear conservation law systems which can admit delta-shaped …

The stability of germanene under biaxial tensile strain and the accompanying modifications
of the electronic properties are studied by density functional theory. The phonon spectrum …