We consider several macroscopic models, based on systems of conservation laws, for the study of crowd dynamics. All the systems considered here contain nonlocal terms, usually obtained through convolutions with smooth functions, used to reproduce the visual horizon of each individual. We classify the various models according to the physical domain (the whole space ℝN or a bounded subset), to the terms affected by the nonlocal operators, and to the number of different populations we aim to describe. For all these systems, we present the basic well posedness and stability results.

Colombo, R., Lecureux-Mercier, M., Garavello, M. (2020). Crowd Dynamics Through Conservation Laws. In L. Gibelli (a cura di), Crowd Dynamics, Volume 2. Theory, Models, and Applications (pp. 83-110). Basel : Birkhauser [10.1007/978-3-030-50450-2_5].

Crowd Dynamics Through Conservation Laws

Garavello, M
2020

Abstract

We consider several macroscopic models, based on systems of conservation laws, for the study of crowd dynamics. All the systems considered here contain nonlocal terms, usually obtained through convolutions with smooth functions, used to reproduce the visual horizon of each individual. We classify the various models according to the physical domain (the whole space ℝN or a bounded subset), to the terms affected by the nonlocal operators, and to the number of different populations we aim to describe. For all these systems, we present the basic well posedness and stability results.
Capitolo o saggio
Crowd dynamics, conservation laws
English
Crowd Dynamics, Volume 2. Theory, Models, and Applications
Gibelli, L
2020
978-3-030-50449-6
Birkhauser
83
110
Colombo, R., Lecureux-Mercier, M., Garavello, M. (2020). Crowd Dynamics Through Conservation Laws. In L. Gibelli (a cura di), Crowd Dynamics, Volume 2. Theory, Models, and Applications (pp. 83-110). Basel : Birkhauser [10.1007/978-3-030-50450-2_5].
none
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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/10281/294230
Citazioni
  • Scopus 2
  • ???jsp.display-item.citation.isi??? ND
Social impact