Nonlocal conservation laws are used to describe various realistic instances of crowd behaviors. First, a basic analytic framework is established through an ad hoc well-posedness theorem for systems of nonlocal conservation laws in several space dimensions interacting nonlocally with a system of ODEs. Numerical integrations show possible applications to the interaction of different groups of pedestrians and also with other agents.

Borsche, R., Colombo, R., Garavello, M., Meurer, A. (2015). Differential Equations Modeling Crowd Interactions. JOURNAL OF NONLINEAR SCIENCE, 25(4), 827-859 [10.1007/s00332-015-9242-0].

Differential Equations Modeling Crowd Interactions

GARAVELLO, MAURO;
2015

Abstract

Nonlocal conservation laws are used to describe various realistic instances of crowd behaviors. First, a basic analytic framework is established through an ad hoc well-posedness theorem for systems of nonlocal conservation laws in several space dimensions interacting nonlocally with a system of ODEs. Numerical integrations show possible applications to the interaction of different groups of pedestrians and also with other agents.
Articolo in rivista - Articolo scientifico
Nonlocal conservation laws; Crowd dynamics; Car traffic
English
2015
25
4
827
859
reserved
Borsche, R., Colombo, R., Garavello, M., Meurer, A. (2015). Differential Equations Modeling Crowd Interactions. JOURNAL OF NONLINEAR SCIENCE, 25(4), 827-859 [10.1007/s00332-015-9242-0].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/98406
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