Existence results for Hughes' model for pedestrian flows

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:420

Article

Amadori, Debora¹  Goatin, Paola²  Rosini, Massimiliano D.³ 

[1] Univ Aquila, DISIM, I-67010 Laquila, Italy

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

[3] Univ Warsaw, ICM, Warsaw, Poland

关键词: Crowd dynamics;    Conservation laws;    Eikonal equation;    Hughes' model for pedestrian flows;    Wave-front tracking;   

DOI  :  10.1016/j.jmaa.2014.05.072

来源: Elsevier

【 摘 要 】

In this paper we prove two global existence results for Hughes' model for pedestrian flows under assumptions that ensure that the traces of the solutions along the turning curve are zero for all positive times. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free