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

Chiarello, Felisia Angela ; Friedrich, Jan ; Goatin, Paola ; Göttlich, Simone

URL: https://hal.archives-ouvertes.fr/hal-02443123/docu...
Document Type: Working paper
Year of publication: 2020
The title of a journal, publication series: HAL : archives-ouvertes
Volume: hal-02443123
Place of publication: Mannheim [u.a.]
Publication language: English
Institution: School of Business Informatics and Mathematics > Scientific Computing (Göttlich 2011-)
Subject: 510 Mathematics
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.

Dieser Eintrag ist Teil der Universitätsbibliographie.

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