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Book Sections Year : 2020

An overview of non-local traffic flow models


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.
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hal-02407600 , version 1 (12-12-2019)


  • HAL Id : hal-02407600 , version 1


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