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Mathematics behind some phenomena in crowd motion : Stop and Go waves and Capacity Drop

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Authors : Maury, Bertrand (Author of the conference)
CIRM (Publisher )

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Abstract : This minicourse aims at providing tentative explanations of some specific phenomena observed in the motion of crowds, or more generally collections of living entities. The first lecture shall focus on the so-called Stop and Go Waves, which sometimes spontaneously emerge and persist in crowds in motion. We shall present a general class of dynamical systems which are likely to exhibit this type of instabilities, and emphasize the critical role of two basic ingredients: the asymmetry of interactions, and any sort of delay in the transmission of information through the network of entities. The second lecture will address the Capacity Drop Phenomenon (decrease of the flux though a bottleneck when the upstream density becomes too high), and the more paradoxical Faster is Slower Effect (in some regimes, attempts to go quicker may slow down the overall process). We shall in particular detail how an accurate description of the relative position of entities (at the microscopic level) is crucial to recover and understand those effects.

MSC Codes :
34D20 - Stability of ODE
35L65 - Conservation laws
90B20 - Traffic problems
70E55 - Dynamics of multibody systems
70E50 - Stability problems

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 30/07/2018
    Conference Date : 19/07/2018
    Subseries : Research School
    arXiv category : Dynamical Systems ; Mathematical Physics ; Analysis of PDEs
    Mathematical Area(s) : Mathematical Physics ; Dynamical Systems & ODE ; PDE
    Format : MP4 (.mp4) - HD
    Video Time : 01:28:17
    Targeted Audience : Researchers ; Graduate Students
    Download : https://videos.cirm-math.fr/2018-07-19_Maury.mp4

Information on the Event

Event Title : CEMRACS - Summer school: Numerical and mathematical modeling for biological and medical applications: deterministic, probabilistic and statistical descriptions / CEMRACS - École d'été : Modélisation numérique et mathématique pour la biologie et la médecine : descriptions déterministes, probabilistes et statistiques
Event Organizers : Calvez, Vincent ; Grandmont, Céline ; Löcherbach, Eva ; Poignard, Clair ; Ribot, Nathalie ; Vauchelet, Nicolas
Dates : 16/07/2018 - 24/08/2018
Event Year : 2018
Event URL : https://conferences.cirm-math.fr/1834.html

Citation Data

DOI : 10.24350/CIRM.V.19422803
Cite this video as: Maury, Bertrand (2018). Mathematics behind some phenomena in crowd motion : Stop and Go waves and Capacity Drop. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19422803
URI : http://dx.doi.org/10.24350/CIRM.V.19422803

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