Non-local crowd dynamics

被引：17

作者：

Colombo, Rinaldo M. ^{[1
]}

Garavello, Mauro ^{[2
]}

Lecureux-Mercier, Magali ^{[3
]}

机构：

[1] Univ Brescia, Dipartimento Matemat, I-25123 Brescia, Italy

[2] Univ Piemonte Orientate, Di STA, I-15121 Alessandria, Italy

[3] Univ Orleans, F-45067 Orleans 2, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2011年 / 349卷 / 13-14期

关键词：

PEDESTRIAN FLOW;

D O I：

10.1016/j.crma.2011.07.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2011 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：769 / 772

页数：4

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