Format:
1 Online-Ressource (VII, 274 Seiten)
,
Illustrationen, Diagramme
ISBN:
9783030202972
Series Statement:
Modeling and Simulation in Science, Engineering and Technology
Content:
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
Content:
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
Additional Edition:
ISBN 9783030202965
Additional Edition:
Erscheint auch als Druck-Ausgabe Active particles ; volume 2: Advances in theory, models, and applications Cham : Birkhäuser, Springer Nature Switzerland AG, 2019 ISBN 9783030202996
Language:
English
Subjects:
Mathematics
DOI:
10.1007/978-3-030-20297-2
Author information:
Bellomo, Nicola 1943-
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