1.

Record Nr.

UNINA9910349322303321

Titolo

Active Particles, Volume 2 : Advances in Theory, Models, and Applications / / edited by Nicola Bellomo, Pierre Degond, Eitan Tadmor

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019

ISBN

3-030-20297-6

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (279 pages) : illustrations

Collana

Modeling and Simulation in Science, Engineering and Technology, , 2164-3679

Disciplina

570.15118

Soggetti

Mathematical models

System theory

Statistical physics

Dynamical systems

Mathematical Modeling and Industrial Mathematics

Complex Systems

Statistical Physics and Dynamical Systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.