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Pedestrian flows and non-classical shocks. (English) Zbl 1108.90016

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:

90B20 Traffic problems in operations research
35L65 Hyperbolic conservation laws
35L67 Shocks and singularities for hyperbolic equations
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