4 papers
A multi-scale multi-lane model for traffic regulation via autonomous vehicles
Paola Goatin, Benedetto Piccoli
We propose a new model for multi-lane traffic with moving bottlenecks, e.g., autonomous vehicles (AV). It consists of a system of balance laws for traffic in each lane, coupled in…
Non-local traffic flow models with time delay: well-posedness and numerical approximation
Ilaria Ciaramaglia, Paola Goatin, Gabriella Puppo
We prove the well-posedness of weak entropy solutions of a scalar non-local traffic flow model with time delay. Existence is obtained by convergence of finite volume approximate so…
The mathematical theory of Hughes' model: a survey of results
Debora Amadori, Boris Andreianov, Marco Di Francesco +9
We provide an overview of the results on Hughes' model for pedestrian movements available in the literature. After the first successful approaches to solving a regularised version…
The Aw-Rascle traffic model with locally constrained flow
Mauro Garavello, Paola Goatin
We consider solutions of the Aw-Rascle model for traffic flow fulfilling a constraint on the flux at . Two different kinds of solutions are proposed: at the first one co…