Pedestrian flows and non-classical shocks

Rinaldo M. Colombo · Massimiliano D. Rosini

206 citations0/0 files storedMathematical Methods in the Applied Sciences

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Evacuation and Crowd Dynamics Computational Fluid Dynamics and Aerodynamics Traffic control and management

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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References

2000Simulating dynamical features of escape panic 2002A continuum theory for the flow of pedestrians 2003Pedestrian route-choice and activity scheduling theory and models 2002T HE F LOW OF H UMAN C ROWDS 2003Simulation of pedestrian flows by optimal control and differential games 2001Scaling behavior of crowd flow outside a hall

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2011Multiscale Modeling of Granular Flows with Application to Crowd Dynamics 2010A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE 2011A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC 2010Time-Evolving Measures and Macroscopic Modeling of Pedestrian Flow 2014Guided crowd dynamics via modified social force model 2009Pedestrian flows in bounded domains with obstacles 2014Macroscopic modeling and simulations of room evacuation 2021Incorporating human factors in emergency evacuation – An overview of behavioral factors and models

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