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Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2021

A non-local macroscopic model for traffic flow

Résumé

In this work we propose a non-local Hamilton-Jacobi model for traffic flow and we prove the existence and uniqueness of the solution of this model. This model is justified as the limit of a rescaled microscopic model. We also propose a numerical scheme and we prove an estimate error between the continuous solution of this problem and the numerical one. Finally, we provide some numerical illustrations.
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Dates et versions

hal-02659123 , version 1 (30-05-2020)

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Citer

I Ciotir, R Fayad, N Forcadel, Antoine Tonnoir. A non-local macroscopic model for traffic flow. ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (2), pp.689-711. ⟨10.1051/m2an/2021006⟩. ⟨hal-02659123⟩
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