Crowd Dynamics, Volume 1

Theory, Models, and Safety Problems

  • Livio Gibelli
  • Nicola Bellomo

Table of contents

  1. Front Matter
    Pages i-x
  2. Nicola Bellomo, Livio Gibelli
    Pages 1-14
  3. Max Kinateder, Trenton D. Wirth, William H. Warren
    Pages 15-36
  4. Andreas Schadschneider, Mohcine Chraibi, Armin Seyfried, Antoine Tordeux, Jun Zhang
    Pages 63-102
  5. Boris Andreianov, Carlotta Donadello, Ulrich Razafison, Massimiliano Daniele Rosini
    Pages 103-135
  6. Benedetto Piccoli, Francesco Rossi
    Pages 137-165
  7. Raul Borsche, Axel Klar, Florian Schneider
    Pages 167-209
  8. Matteo Colangeli, Adrian Muntean, Omar Richardson, Thi Kim Thoa Thieu
    Pages 211-257
  9. Rafael Bailo, José A. Carrillo, Pierre Degond
    Pages 259-292

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.


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

Editors and affiliations

  • Livio Gibelli
    • 1
  • Nicola Bellomo
    • 2
  1. 1.School of EngineeringUniversity of EdinburghEdinburghUK
  2. 2.Department of Mathematical SciencesPolitecnico di TorinoTorinoItaly

Bibliographic information