Differential Equations Modeling Crowd Interactions
classification
🧮 math.AP
keywords
conservationcrowdlawsnonlocalagentsanalyticapplicationsbasic
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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 non locally with a system of ODEs. Numerical integrations show possible applications to the interaction of different groups of pedestrians, and also with other "agents".
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