Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Active Particles, Volume 2

Advances in Theory, Models, and Applications

  • Book
  • © 2019

Overview

Editors:
  1. Nicola Bellomo

    1. Department of Mathematical Sciences, Politecnico di Torino, Torino, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Pierre Degond

    1. Department of Mathematics, Imperial College London, London, UK

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Eitan Tadmor

    1. CSCAMM, CSIC Bldg 406, University of Maryland, College Park, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Explores the most recent advances and methods for applications of active particles
  • Chapters written by leading researchers in their respective areas
  • Guides readers through numerous applications of active particles

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (9 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Kinetic and Moment Models for Cell Motion in Fiber Structures

    • Raul Borsche, Axel Klar, Florian Schneider
    Pages 1-38

  3. Kinetic Models for Pattern Formation in Animal Aggregations: A Symmetry and Bifurcation Approach

    • Pietro-Luciano Buono, Raluca Eftimie, Mitchell Kovacic, Lennaert van Veen
    Pages 39-64

  4. Aggregation-Diffusion Equations: Dynamics, Asymptotics, and Singular Limits

    • JosĂ© A. Carrillo, Katy Craig, Yao Yao
    Pages 65-108

  5. High-Resolution Positivity and Asymptotic Preserving Numerical Methods for Chemotaxis and Related Models

    • Alina Chertock, Alexander Kurganov
    Pages 109-148

  6. Control Strategies for the Dynamics of Large Particle Systems

    • Michael Herty, Lorenzo Pareschi, Sonja Steffensen
    Pages 149-171

  7. Kinetic Equations and Self-organized Band Formations

    • Quentin Griette, Sebastien Motsch
    Pages 173-199

  8. Singular Cucker–Smale Dynamics

    • Piotr Minakowski, Piotr B. Mucha, Jan Peszek, Ewelina Zatorska
    Pages 201-243

  9. A Stochastic-Statistical Residential Burglary Model with Finite Size Effects

    • Chuntian Wang, Yuan Zhang, Andrea L. Bertozzi, Martin B. Short
    Pages 245-274

  10. Correction to: A Stochastic-Statistical Residential Burglary Model with Finite Size Effects

    • Chuntian Wang, Yuan Zhang, Andrea L. Bertozzi, Martin B. Short
    Pages C1-C1
Back to top

Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematical Sciences, Politecnico di Torino, Torino, Italy

    Nicola Bellomo

  • Department of Mathematics, Imperial College London, London, UK

    Pierre Degond

  • CSCAMM, CSIC Bldg 406, University of Maryland, College Park, USA

    Eitan Tadmor

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation