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Birkhäuser

Crowd Dynamics, Volume 1

Theory, Models, and Safety Problems

  • Book
  • © 2018

Overview

Editors:
  1. Livio Gibelli

    1. School of Engineering, University of Edinburgh, Edinburgh, UK

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    You can also search for this editor in PubMed   Google Scholar

  2. Nicola Bellomo

    1. Department of Mathematical Sciences, Politecnico di Torino, Torino, Italy

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    You can also search for this editor in PubMed   Google Scholar

  • Provides an overview of the state-of-the-art of crowd dynamics research
  • Discusses the complex issues in crowd dynamics by exploring contemporary research from related fields
  • Will motivate readers to investigate exciting new areas of research

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-x
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  2. Behavioral Human Crowds

    • Nicola Bellomo, Livio Gibelli
    Pages 1-14

  3. Crowd Dynamics in Virtual Reality

    • Max Kinateder, Trenton D. Wirth, William H. Warren
    Pages 15-36

  4. Pedestrian Movement in Smoke: Theory, Data and Modelling Approaches

    • Enrico Ronchi, Daniel Nilsson
    Pages 37-62

  5. Pedestrian Dynamics: From Empirical Results to Modeling

    • Andreas Schadschneider, Mohcine Chraibi, Armin Seyfried, Antoine Tordeux, Jun Zhang
    Pages 63-102

  6. One-Dimensional Conservation Laws with Nonlocal Point Constraints on the Flux

    • Boris Andreianov, Carlotta Donadello, Ulrich Razafison, Massimiliano Daniele Rosini
    Pages 103-135

  7. Measure-Theoretic Models for Crowd Dynamics

    • Benedetto Piccoli, Francesco Rossi
    Pages 137-165

  8. Numerical Methods for Mean-Field and Moment Models for Pedestrian Flow

    • Raul Borsche, Axel Klar, Florian Schneider
    Pages 167-209

  9. Modelling Interactions Between Active and Passive Agents Moving Through Heterogeneous Environments

    • Matteo Colangeli, Adrian Muntean, Omar Richardson, Thi Kim Thoa Thieu
    Pages 211-257

  10. Pedestrian Models Based on Rational Behaviour

    • Rafael Bailo, JosĂ© A. Carrillo, Pierre Degond
    Pages 259-292
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Keywords

About this book

This volume explores the complex problems that arise in the modeling and simulation of crowd dynamics in order to present the state-of-the-art of this emerging field and contribute to future research activities. Experts in various areas apply their unique perspectives to specific aspects of crowd dynamics, covering the topic from multiple angles. These include a demonstration of how virtual reality may solve dilemmas in collecting empirical data; a detailed study on pedestrian movement in smoke-filled environments; a presentation of one-dimensional conservation laws with point constraints on the flux; a collection of new ideas on the modeling of crowd dynamics at the microscopic scale; and others. Applied mathematicians interested in crowd dynamics, pedestrian movement, traffic flow modeling, urban planning, and other topics will find this volume a valuable resource. Additionally, researchers in social psychology, architecture, and engineering may find this information relevant to their work.

Editors and Affiliations

  • School of Engineering, University of Edinburgh, Edinburgh, UK

    Livio Gibelli

  • Department of Mathematical Sciences, Politecnico di Torino, Torino, Italy

    Nicola Bellomo

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