Active Particles, Volume 2
Advances in Theory, Models, and Applications
Editors: Bellomo, Nicola, Degond, Pierre, Tadmor, Eitan (Eds.)
Free Preview- 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
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- About this book
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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 (8 chapters)
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Kinetic and Moment Models for Cell Motion in Fiber Structures
Pages 1-38
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Kinetic Models for Pattern Formation in Animal Aggregations: A Symmetry and Bifurcation Approach
Pages 39-64
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Aggregation-Diffusion Equations: Dynamics, Asymptotics, and Singular Limits
Pages 65-108
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High-Resolution Positivity and Asymptotic Preserving Numerical Methods for Chemotaxis and Related Models
Pages 109-148
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Control Strategies for the Dynamics of Large Particle Systems
Pages 149-171
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Table of contents (8 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Active Particles, Volume 2
- Book Subtitle
- Advances in Theory, Models, and Applications
- Editors
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- Nicola Bellomo
- Pierre Degond
- Eitan Tadmor
- Series Title
- Modeling and Simulation in Science, Engineering and Technology
- Copyright
- 2019
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-20297-2
- DOI
- 10.1007/978-3-030-20297-2
- Hardcover ISBN
- 978-3-030-20296-5
- Softcover ISBN
- 978-3-030-20299-6
- Series ISSN
- 2164-3679
- Edition Number
- 1
- Number of Pages
- VII, 274
- Number of Illustrations
- 3 b/w illustrations, 64 illustrations in colour
- Topics