Can I read Non-local Crowd Dynamics on EtoBox?

Non-local Crowd Dynamics by Rinaldo M. Colombo; Mauro Garavello; Magali Lécureux-Mercier is a Mathematics article available to read on EtoBox.

What is Non-local Crowd Dynamics about?

We present a new class of macroscopic models for pedestrian flows. Each individual is assumed to move toward a fixed target, deviating from the best path according to the crowd distribution. The resulting equation is a conservation law with a non-local flux. Each equation in this class generates a Lipschitz semigroup of solutions and is stable with respect to the functions and parameters defining it. Moreover, key qualitative properties such as the boundedness of the crowd density are proved. Two specific models in this class are considered.

Who reads Non-local Crowd Dynamics?

Author

Rinaldo M. Colombo; Mauro Garavello; Magali Lécureux-Mercier

Publisher

Elsevier Science; Elsevier ; Elsevier Masson; Elsevier BV; Cellule MathDoc/CEDRAM (ISSN 1631-073X)

Published

2011

Language

EN

Field

Mathematics (Physical Sciences)