Active Particles, Volume 2

1. Front Matter

   Pages i-vii

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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

   • José 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

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.

• 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

• 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

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