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Bellomo N., Degond P., Tadmor E. (Eds.) Active Particles. Volume 2: Advances in Theory, Models, and Applications

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Bellomo N., Degond P., Tadmor E. (Eds.) Active Particles. Volume 2: Advances in Theory, Models, and Applications
Springer, 2019. — 279 p. — (Modeling and Simulation in Science, Engineering and Technology). — ISBN 978-3-030-20296-5.
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
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
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