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Zbl 1108.90016
Colombo, Rinaldo M.; Rosini, Massimiliano D.
Pedestrian flows and non-classical shocks.
(English)
[J] Math. Methods Appl. Sci. 28, No. 13, 1553-1567 (2005). ISSN 0170-4214; ISSN 1099-1476/e

Summary: We present a model for the flow of pedestrians that describes features typical of this flow, such as the fall due to panic in the outflow of people through a door. The mathematical techniques essentially depend on the use of non-classical shocks in scalar conservation laws.
MSC 2000:
*90B20 Highway traffic
35L65 Conservation laws
35L67 Shocks, etc.

Keywords: non-classical shocks in conservation laws; macroscopic pedestrian flow models

Cited in: Zbl 1226.35050

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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