期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 420, 期 1, 页码 387-406出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2014.05.072
关键词
Crowd dynamics; Conservation laws; Eikonal equation; Hughes' model for pedestrian flows; Wave-front tracking
资金
- European Research Council under the European Union (ERC) [257661]
- Polonium (French Polish cooperation program, Ministry of Research and Higher Education) under the project CROwd Motion Modeling and Management [8424/2011]
- Projekt zostal sfinansowany ze srodkow Narodowego Centrum Nauki przyznanych na podstawie decyzji [DEC-2011/01/B/ST1/03965]
- European Research Council (ERC) [257661] Funding Source: European Research Council (ERC)
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.
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