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Crowd Dynamics, Volume 1Measure-Theoretic Models for Crowd Dynamics

Crowd Dynamics, Volume 1: Measure-Theoretic Models for Crowd Dynamics [This chapter revises some modeling, analysis, and simulation contributions for crowd dynamics using time-evolving measures. Two key features are strictly related to the use of measures: on one side, this setting permits to generalize both microscopic and macroscopic crowd models. On the other side, it allows an easy description of multi-scale crowd models, e.g., with leaders and followers. The main analytical tool for studying measure evolution is to endow the space of measures with the Wasserstein distance.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Crowd Dynamics, Volume 1Measure-Theoretic Models for Crowd Dynamics

Part of the Modeling and Simulation in Science, Engineering and Technology Book Series
Editors: Gibelli, Livio; Bellomo, Nicola
Piccoli, Benedetto; Rossi, Francesco
Crowd Dynamics, Volume 1 — Jan 23, 2019
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28 pages

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Publisher
Springer International Publishing
Copyright
© Springer Nature Switzerland AG 2018
ISBN
978-3-030-05128-0
Pages
137 –165
DOI
10.1007/978-3-030-05129-7_6
Publisher site
See Chapter on Publisher Site

Abstract

[This chapter revises some modeling, analysis, and simulation contributions for crowd dynamics using time-evolving measures. Two key features are strictly related to the use of measures: on one side, this setting permits to generalize both microscopic and macroscopic crowd models. On the other side, it allows an easy description of multi-scale crowd models, e.g., with leaders and followers. The main analytical tool for studying measure evolution is to endow the space of measures with the Wasserstein distance.]

Published: Jan 23, 2019

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