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

An overview of non-local traffic flow models

Felisia Angela Chiarello
2021-01-01

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
2021
978-3-030-66560-9
CONSERVATION-LAWS
WELL-POSEDNESS
REGULARITY
SCHEMES
UNIQUENESS
EXISTENCE
WAVES
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12572/34697
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