Differential Equations Modeling Crowd Interactions

作者:Borsche Raul; Colombo Rinaldo M*; Garavello Mauro; Meurer Anne
来源:Journal of Nonlinear Science, 2015, 25(4): 827-859.
DOI:10.1007/s00332-015-9242-0

摘要

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.

  • 出版日期2015-8