Active Particles, Volume 2: Advances in Theory, Models, and Applications

✍ Scribed by Nicola Bellomo, Pierre Degond, Eitan Tadmor

• Publisher: Springer International Publishing;Birkhäuser
• Year: 2019
• Tongue: English
• Leaves: 279
• Series: Modeling and Simulation in Science, Engineering and Technology
• Edition: 1st ed. 2019
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-vii
Kinetic and Moment Models for Cell Motion in Fiber Structures (Raul Borsche, Axel Klar, Florian Schneider)....Pages 1-38
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
Aggregation-Diffusion Equations: Dynamics, Asymptotics, and Singular Limits (José A. Carrillo, Katy Craig, Yao Yao)....Pages 65-108
High-Resolution Positivity and Asymptotic Preserving Numerical Methods for Chemotaxis and Related Models (Alina Chertock, Alexander Kurganov)....Pages 109-148
Control Strategies for the Dynamics of Large Particle Systems (Michael Herty, Lorenzo Pareschi, Sonja Steffensen)....Pages 149-171
Kinetic Equations and Self-organized Band Formations (Quentin Griette, Sebastien Motsch)....Pages 173-199
Singular Cucker–Smale Dynamics (Piotr Minakowski, Piotr B. Mucha, Jan Peszek, Ewelina Zatorska)....Pages 201-243
A Stochastic-Statistical Residential Burglary Model with Finite Size Effects (Chuntian Wang, Yuan Zhang, Andrea L. Bertozzi, Martin B. Short)....Pages 245-274

✦ Subjects

Mathematics; Mathematical Modeling and Industrial Mathematics; Complex Systems; Complex Systems; Statistical Physics and Dynamical Systems