An overview of non-local traffic flow models

Felisia Angela Chiarello (1, 2)

1 COMUE UCA - COMUE Université Côte d'Azur (2015-2019)
2 ACUMES - Analysis and Control of Unsteady Models for Engineering Sciences

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 behavior of different groups of drivers or vehicles.

Domaines: Mathématiques [math]; Equations aux dérivées partielles [math.AP]

Felisia Angela Chiarello. An overview of non-local traffic flow models. Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models, 2020. ⟨hal-02407600⟩