Differential Equations Modeling Crowd Interactions
Analysis of PDEs
2015-06-19 v1
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 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".
Cite
@article{arxiv.1405.7809,
title = {Differential Equations Modeling Crowd Interactions},
author = {Raul Borsche and Rinaldo M. Colombo and Mauro Garavello and Anne Meurer},
journal= {arXiv preprint arXiv:1405.7809},
year = {2015}
}
Comments
26 pages, 5 figures