KNOPOFF Damian Alejandro
From the Micro Scale to Collective Crowd Dynamics
NICOLA BELLOMO; BELLOUQUID ABDELGHANI; KNOPOFF DAMIAN
MULTISCALE MODELING AND SIMULATION
Lugar: Philadelphia-USA; Año: 2013 vol. 11 p. 943 - 963
This paper deals with the kinetic theory modeling crowd dynamics with the aim ofshowing how the dynamics at the microscale is transferred to the dynamics of collective behaviors.The derivation of a new model is followed by a qualitative analysis of the initial value problem.Existence of solutions is proved for arbitrary large times, while simulations are developed by computationalschemes based on splitting methods, where the transport equations are treated by finitedifference methods for hyperbolic equations. Some preliminary reasoning toward the modeling ofpanic conditions is proposed.