We couple, at a fixed interface, the microscopic Follow the Leader model and the macroscopic Lighthill–Whitham–Richards model, both used for describing vehicular traffic. The coupling is obtained by suitable boundary conditions. We prove existence of solutions for the corresponding Cauchy problem, by using the wave-front tracking method and classical results on ordinary differential equations.

Garavello, M., Piccoli, B. (2017). Boundary coupling of microscopic and first order macroscopic traffic models. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 24(4) [10.1007/s00030-017-0467-5].

Boundary coupling of microscopic and first order macroscopic traffic models

Garavello, M
;
2017

Abstract

We couple, at a fixed interface, the microscopic Follow the Leader model and the macroscopic Lighthill–Whitham–Richards model, both used for describing vehicular traffic. The coupling is obtained by suitable boundary conditions. We prove existence of solutions for the corresponding Cauchy problem, by using the wave-front tracking method and classical results on ordinary differential equations.
Articolo in rivista - Articolo scientifico
Coupling conditions; Follow the Leader model; Lighthill–Whitham–Richards model; Traffic models; Analysis; Applied Mathematics
English
2017
24
4
43
reserved
Garavello, M., Piccoli, B. (2017). Boundary coupling of microscopic and first order macroscopic traffic models. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 24(4) [10.1007/s00030-017-0467-5].
File in questo prodotto:
File Dimensione Formato  
pubb_7.pdf

Solo gestori archivio

Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 609.86 kB
Formato Adobe PDF
609.86 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/178367
Citazioni
  • Scopus 8
  • ???jsp.display-item.citation.isi??? 4
Social impact