Archivio Istituzionale della RicercaWe give an overview of mathematical traffic flow models with non-local velocity. More precisely, we consider conservation laws with flux functions depending on an integral evaluation of the density of vehicles through a convolution product. We summarize the analytical results recently obtained for this kind of models, and we provide some numerical simulations illustrating the behaviour of different groups of drivers or vehicles
An overview of non-local traffic flow models / Chiarello, Felisia Angela. - ELETTRONICO. - 12:(2021), pp. 79-91. (Intervento presentato al convegno 9th International Congress on Industrial and Applied Mathematics (ICIAM) tenutosi a Valencia (Spain) nel JUL 15-19, 2019) [10.1007/978-3-030-66560-9_5].
An overview of non-local traffic flow models
Felisia Angela Chiarello
2021
Abstract
We give an overview of mathematical traffic flow models with non-local velocity. More precisely, we consider conservation laws with flux functions depending on an integral evaluation of the density of vehicles through a convolution product. We summarize the analytical results recently obtained for this kind of models, and we provide some numerical simulations illustrating the behaviour of different groups of drivers or vehicles
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https://hdl.handle.net/11583/2956181