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math.AP2019
A multiscale model for traffic regulation via autonomous vehicles
Mauro Garavello, Paola Goatin, Thibault Liard +1
Autonomous vehicles (AVs) allow new ways of regulating the traffic flow on road networks. Most of available results in this direction are based on microscopic approaches, where ODE…
math.AP2019
A multi-lane macroscopic traffic flow model for simple networks
Paola Goatin, Elena Rossi
We prove the well-posedness of a system of balance laws inspired by [8], describing macro-scopically the traffic flow on a multi-lane road network. Motivated by real applications,…
math.AP2019
Well-posedness of a non-local model for material flow on conveyor belts
Elena Rossi, Jennifer Kötz, Paola Goatin +1
In this paper, we focus on finite volume approximation schemes to solve a non-local material flow model in two space dimensions. Based on the numerical discretisation with dimensio…