Modeling Crowd Dynamics through Hyperbolic - Elliptic Equations
Analysis of PDEs
2016-10-25 v1
Abstract
Inspired by the works of Hughes [17, 18], we formalize and prove the well posedness of a hyperbolic--elliptic system whose solutions describe the dynamics of a moving crowd. The resulting model is here shown to be well posed and the time of evacuation from a bounded environment is proved to be finite. This model also provides a microscopic description of the individuals' behaviors.
Cite
@article{arxiv.1610.07450,
title = {Modeling Crowd Dynamics through Hyperbolic - Elliptic Equations},
author = {Rinaldo M. Colombo and Maria Gokieli and Massimiliano D. Rosini},
journal= {arXiv preprint arXiv:1610.07450},
year = {2016}
}