Crowd Dynamics, Volume 1

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, José A. Carrillo, Pierre Degond

    Pages 259-292

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.

• Crowd Dynamics
• Pedestrian movement
• Crowd modeling and simulation
• Virtual reality applications
• Homogeneous crowds
• Traffic flow
• Fire and smoke dynamics
• Particle methods
• Collective intelligence
• Complex systems

• 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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