Active Particles, Volume 2

Advances in Theory, Models, and Applications
1. Auflage 2019
ISBN: 978-3-030-20299-6
Verlag: Springer International Publishing

Buch, Englisch, 274 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 435 g

Reihe: Modeling and Simulation in Science, Engineering and Technology

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.

Zielgruppe

Research

Autoren/Hrsg.

Bellomo, Nicola

Tadmor, Eitan

Degond, Pierre

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie

Inhaltsverzeichnis

Kinetic and moment models for cell motion in fiber structures.- Kinetic models for pattern formation in animal aggregations: a symmetry and bifurcation approach.- Aggregation-diffusion equations: dynamics, asymptotics, and singular limits.- High-resolution positivity and asymptotic preserving Numerical methods for chemotaxis and related models.- Control strategies for the dynamics of large particle systems.- Kinetic equations and self-organized band formations.- Singular Cucker-Smale dynamics.- A stochastic-statistical residential burglary model with finite size effects.