# Micro-Macro limit of a non-local generalized Aw-Rascle type model

1 Acumes - Analysis and Control of Unsteady Models for Engineering Sciences
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : We introduce a Follow-the-Leader approximation of a non-local generalized Aw-Rascle-Zhang (GARZ) model for traffic flow. We prove the convergence to weak solutions of the corresponding macroscopic equations deriving $L ∞$ and BV estimates. We also provide numerical simulations illustrating the micro-macro convergence and we investigate numerically the non-local to local limit for both the microscopic and macroscopic models.
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Journal articles

Cited literature [26 references]

https://hal.archives-ouvertes.fr/hal-02443123
Contributor : Paola Goatin <>
Submitted on : Thursday, January 16, 2020 - 10:51:16 PM
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• HAL Id : hal-02443123, version 1

### Citation

Felisia Angela Chiarello, Jan Friedrich, Paola Goatin, Simone Göttlich. Micro-Macro limit of a non-local generalized Aw-Rascle type model. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, inPress. ⟨hal-02443123⟩

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