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Active Particles, Volume 2

Advances in Theory, Models, and Applications

  • Nicola Bellomo
  • Pierre Degond
  • Eitan Tadmor
Book

Table of contents

  1. Front Matter
    Pages i-vii
  2. Raul Borsche, Axel Klar, Florian Schneider
    Pages 1-38
  3. Pietro-Luciano Buono, Raluca Eftimie, Mitchell Kovacic, Lennaert van Veen
    Pages 39-64
  4. José A. Carrillo, Katy Craig, Yao Yao
    Pages 65-108
  5. Michael Herty, Lorenzo Pareschi, Sonja Steffensen
    Pages 149-171
  6. Quentin Griette, Sebastien Motsch
    Pages 173-199
  7. Piotr Minakowski, Piotr B. Mucha, Jan Peszek, Ewelina Zatorska
    Pages 201-243
  8. Chuntian Wang, Yuan Zhang, Andrea L. Bertozzi, Martin B. Short
    Pages 245-274

About this book

Introduction

This volume compiles eight recent surveys that present state-of-the-art results in the field of active matter at different scales, modeled by agent-based, kinetic, and hydrodynamic descriptions. Following the previously published volume, these chapters were written by leading experts in the field and accurately reflect the diversity of subject matter in theory and applications. Several mathematical tools are employed throughout the volume, including analysis of nonlinear PDEs, network theory, mean field approximations, control theory, and flocking analysis. The book also covers a wide range of applications, including:

  • Biological network formation
  • Social systems
  • Control theory of sparse systems
  • Dynamics of swarming and flocking systems
  • Stochastic particles and mean field approximations

Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.

Keywords

Active matter Active matter research Mathematical Kinetic Theory of Active Particles Nonequilibrium Statistical Mechanics Biological Network Formation Opinion Modeling Complex Systems Active particles Particle dynamics Biological network information Network theory

Editors and affiliations

  • Nicola Bellomo
    • 1
  • Pierre Degond
    • 2
  • Eitan Tadmor
    • 3
  1. 1.Department of Mathematical SciencesPolitecnico di TorinoTorinoItaly
  2. 2.Department of MathematicsImperial College LondonLondonUK
  3. 3.CSCAMM, CSIC Bldg 406University of MarylandCollege ParkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-20297-2
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-20296-5
  • Online ISBN 978-3-030-20297-2
  • Series Print ISSN 2164-3679
  • Series Online ISSN 2164-3725
  • Buy this book on publisher's site