Active Particles, Volume 2

Advances in Theory, Models, and Applications

Nicola Bellomo, Pierre Degond, Eitan Tadmor (Herausgeber)

Buch | Softcover

VII, 274 Seiten

2020 | 1st ed. 2019
Springer International Publishing (Verlag)
978-3-030-20299-6 (ISBN)

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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.

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.

Erscheinungsdatum	04.09.2020
Reihe/Serie	Modeling and Simulation in Science, Engineering and Technology
Zusatzinfo	VII, 274 p. 67 illus., 64 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	438 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Active Matter • Active matter research • Active particles • Biological Network Formation • Biological network information • Complex Systems • Mathematical Kinetic Theory of Active Particles • Network Theory • nonequilibrium statistical mechanics • Opinion Modeling • particle dynamics
ISBN-10	3-030-20299-2 / 3030202992
ISBN-13	978-3-030-20299-6 / 9783030202996
Zustand	Neuware