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Zbl 0776.92016
Helbing, Dirk
A fluid-dynamic model for the movement of pedestrians. (English)
[J] Complex Syst. 6, No.5, 391-415 (1992). ISSN 0891-2513

Summary: A fluid-dynamic description for the collective movement of pedestrians is developed on the basis of a Boltzmann-like gas-kinetic model. The differences between these pedestrian-specific equations and those for ordinary fluids are worked out; they concern, for example, the mechanism of relaxation to equilibrium, the role of ``pressure'', the special influence of internal friction, and the origin of ``temperature''.\par Some interesting results are derived that can be compared to real situations --- for example, the development of walking lanes and of pedestrian jams, the propagation of waves, and behavior on a dance floor. Possible applications of the model to town- and traffic-planning are outlined.

MSC 2000:: *92F05 Appl. of mathematics to other natural sciences
76Z99 Biological fluid mechanics
76P05 Molecular or atomic structure
92C05 Biophysics

Keywords: equilibrium; nonequilibrium; viscosity; pressure; temperature; fluid- dynamic description; collective movement of pedestrians; Boltzmann-like gas-kinetic model; relaxation to equilibrium; internal friction; development of walking lanes; pedestrian jams; propagation of waves; behavior on a dance floor

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Zentralblatt MATH Berlin [Germany]