Mathematical Methods in the Applied Sciences · 2005 · 210 citations · 21 references
Evacuation PlanningCrowd SimulationTraffic TheoryEngineeringTraffic FlowCrowd BehaviorScalar Conservation LawsFluid MechanicsSafety ScienceNon-classical ShocksMathematical TechniquesTransportation Engineering
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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Simulating dynamical features of escape panic
Dirk Helbing, Illés J. Farkas, Tamás Vicsek · Nature · 2000 · 4.8K citations · Full text
P.I. Richards · Operations Research · 1956 · 3.5K citations