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Active Particles, Volume 2: Modeling and Simulation in Science, Engineering and Technology

Editat de Nicola Bellomo, Pierre Degond, Eitan Tadmor
en Limba Engleză Paperback – 3 sep 2020
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.
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Specificații

ISBN-13: 9783030202996
ISBN-10: 3030202992
Pagini: 284
Ilustrații: VII, 274 p. 67 illus., 64 illus. in color.
Dimensiuni: 155 x 235 x 16 mm
Greutate: 0.44 kg
Ediția:1st edition 2019
Editura: birkhäuser
Colecția Modeling and Simulation in Science, Engineering and Technology
Seria Modeling and Simulation in Science, Engineering and Technology

Locul publicării:Cham, Switzerland

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

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