NONLOCAL CONSERVATION LAWS IN BOUNDED DOMAINS

被引：27

作者：

Colombo, Rinaldo M. ^{[1
]}

Rossi, Elena ^{[2
]}

机构：

[1] Univ Brescia, INdAM Unit, I-25123 Brescia, Italy

[2] INRIA, Sophia Antipolis Mediterranee, F-06902 Sophia Antipolis, France

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2018年 / 50卷 / 04期

关键词：

crowd dynamics; macroscopic pedestrian model; nonlocal conservation laws; CROWD DYNAMICS; WELL-POSEDNESS; BALANCE LAWS; MODEL; FLOW; SCHEMES;

D O I：

10.1137/18M1171783

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The well posedness for a class of nonlocal systems of conservation laws in a bounded domain is proved and various stability estimates are provided. This construction is motivated by the modeling of crowd dynamics, which also leads to defining a nonlocal operator adapted to the presence of a boundary. Numerical integrations show that the resulting model provides qualitatively reasonable solutions.

引用

收藏

页码：4041 / 4065

页数：25

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