NONLOCAL CROWD DYNAMICS MODELS FOR SEVERAL POPULATIONS

被引：84

作者：

Colombo, Rinaldo M. ^{[1
]}

Lecureux-Mercier, Magali ^{[2
]}

机构：

[1] Univ Brescia, Dept Math, I-25133 Brescia, Italy

[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 01期

关键词：

hyperbolic conservation laws; nonlocal flow; pedestrian traffic;

D O I：

10.1016/S0252-9602(12)60011-3

中图分类号：

O1 [数学];

学科分类号：

070101 [基础数学];

摘要：

This paper develops the basic analytical theory related to some recently introduced crowd dynamics models. Where well posedness was known only locally in time, it is here extended to all of R+. The results on the stability with respect to the equations are improved. Moreover, here the case of several populations is considered, obtaining the well posedness of systems of multi-D non-local conservation laws. The basic analytical tools are provided by the classical Kruzkov theory of scalar conservation laws in several space dimensions.

引用

页码：177 / 196

页数：20

共 15 条

[1]

TWO-WAY MULTI-LANE TRAFFIC MODEL FOR PEDESTRIANS IN CORRIDORS [J].