Communications in Mathematical Sciences
Volume 13 (2015)
On multiscale models of pedestrian crowds from mesoscopic to macroscopic
Pages: 1649 – 1664
This paper deals with the derivation of macroscopic equations from the underlying mesoscopic description that is suitable for capturing the main features of pedestrian crowd dynamics. The interactions are modeled by means of the theoretical tools of game theory while the macroscopic equations are derived from asymptotic limits.
pedestrian crowds, complexity, scaling, nonlinear interactions
2010 Mathematics Subject Classification
35L65, 82-02, 90B20, 92-02, 92D50