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Pedestrian flows and non-classical shocks

Mathematical Methods in the Applied Sciences (2005) 28(13) 1553-1567
DOI: 10.1002/mma.624
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Abstract

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. Copyright © 2005 John Wiley & Sons, Ltd.

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Colombo, R. M., & Rosini, M. D. (2005). Pedestrian flows and non-classical shocks. Mathematical Methods in the Applied Sciences, 28(13), 1553–1567. https://doi.org/10.1002/mma.624

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