Freeway traffic control is a broad research area, not only interesting for its applicative
perspective, but also highly motivating for theoretical investigations. This research topic has …

Virtualized traffic via various simulation models and real‐world traffic data are promising
approaches to reconstruct detailed traffic flows. A variety of applications can benefit from the …

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 …

Based on fluid-dynamic and many-particle (car-following) simulations of traffic flows in
(urban) networks, we study the problem of coordinating incompatible traffic flows at …

The broad research thematic of flows on networks was addressed in recent years by many
researchers, in the area of applied mathematics, with new models based on partial …

This book explores the development of PDE (partial differential equation) backstep**
controllers for the suppression of stop-and-go instabilities and oscillations in congested …

We give a new sufficient condition on the boundary conditions for the exponential stability of
one-dimensional nonlinear hyperbolic systems on a bounded interval. Our proof relies on …

We introduce a model for gas flow in pipeline networks based on the isothermal Euler
equations. We model the intersection of multiple pipes by posing an additional assumption …

We investigate coupling conditions for gas transport in networks where the governing
equations are the isothermal Euler equations. We discuss intersections of pipes by …

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 …