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Collective Dynamics from Bacteria to Crowds

An Excursion Through Modeling, Analysis and Simulation

  • Book
  • © 2014

Overview

Editors:
  1. Adrian Muntean

    1. Eindhoven University of Technology, Eindhoven, The Netherlands

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    You can also search for this editor in PubMed   Google Scholar

  2. Federico Toschi

    1. Eindhoven University of Technology, Eindhoven, The Netherlands

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    You can also search for this editor in PubMed   Google Scholar

  • A wide spectrum of multiscale analysis results (like convergence proofs) can be found in this book
  • Presents practically important information such as derivations of mean-field equations, methods to handle hard contacts numerically, to model group behavior
  • Multidisciplinary approach

Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 553)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-vii
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  2. The derivation of swarming models: Mean-field limit and Wasserstein distances

    • José Antonio Carrillo, Young-Pil Choi, Maxime Hauray
    Pages 1-46

  3. Non smooth evolution models in crowd dynamics: mathematical and numerical issues

    • Bertrand Maury
    Pages 47-73

  4. Pedestrians moving in the dark: Balancing measures and playing games on lattices

    • Adrian Muntean, Emilio N. M. Cirillo, Oleh Krehel, Michael Böhm
    Pages 75-103

  5. Stochastic competition between two populations in space

    • Simone Pigolotti, Roberto Benzi, Mogens H. Jensen, Prasad Perlekar, Federico Toschi
    Pages 105-117

  6. Discrete and Continuum Dynamics of Reacting and Interacting Individuals

    • Francesca Tesser, Charles R. Doering
    Pages 119-156

  7. Multiscale Crowd Dynamics Modeling and Theory

    • Andrea Tosin
    Pages 157-177
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Keywords

About this book

Multiscale models in social applications combine mean-field and kinetic equations with either microscopic or macroscopic level descriptions. In this book the reader will find not only a wide spectrum of multiscale analysis results (like convergence proofs), but also practically important information such as derivations of mean-field equations, methods to handle hard contacts numerically, to model group behavior, to quantitative estimate microscopic/macroscopic segregation of competing species, to quantitative understand the limits of validity of mass-action kinetics for simple reactions.

Editors and Affiliations

  • Eindhoven University of Technology, Eindhoven, The Netherlands

    Adrian Muntean, Federico Toschi

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