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.
CITATION STYLE
Borsche, R., Colombo, R. M., Garavello, M., & Meurer, A. (2015). Differential Equations Modeling Crowd Interactions. Journal of Nonlinear Science, 25(4), 827–859. https://doi.org/10.1007/s00332-015-9242-0
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