Crowd Dynamics, Volume 1: Theory, Models, and Safety Problems

✍ Scribed by Gibelli, Livio, Bellomo, Nicola (Eds.)

• Publisher: Springer
• Year: 2018
• Tongue: English
• Leaves: 298
• Series: Modeling and Simulation in Science, Engineering and Technology
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-x
Behavioral Human Crowds (Nicola Bellomo, Livio Gibelli)....Pages 1-14
Crowd Dynamics in Virtual Reality (Max Kinateder, Trenton D. Wirth, William H. Warren)....Pages 15-36
Pedestrian Movement in Smoke: Theory, Data and Modelling Approaches (Enrico Ronchi, Daniel Nilsson)....Pages 37-62
Pedestrian Dynamics: From Empirical Results to Modeling (Andreas Schadschneider, Mohcine Chraibi, Armin Seyfried, Antoine Tordeux, Jun Zhang)....Pages 63-102
One-Dimensional Conservation Laws with Nonlocal Point Constraints on the Flux (Boris Andreianov, Carlotta Donadello, Ulrich Razafison, Massimiliano Daniele Rosini)....Pages 103-135
Measure-Theoretic Models for Crowd Dynamics (Benedetto Piccoli, Francesco Rossi)....Pages 137-165
Numerical Methods for Mean-Field and Moment Models for Pedestrian Flow (Raul Borsche, Axel Klar, Florian Schneider)....Pages 167-209
Modelling Interactions Between Active and Passive Agents Moving Through Heterogeneous Environments (Matteo Colangeli, Adrian Muntean, Omar Richardson, Thi Kim Thoa Thieu)....Pages 211-257
Pedestrian Models Based on Rational Behaviour (Rafael Bailo, José A. Carrillo, Pierre Degond)....Pages 259-292