Muntean / Toschi Collective Dynamics from Bacteria to Crowds

An Excursion Through Modeling, Analysis and Simulation
1. Auflage 2014
ISBN: 978-3-7091-1785-9
Verlag: Springer Wien
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 177 Seiten, Web PDF

Reihe: CISM International Centre for Mechanical Sciences

Multiscale models in social applications combine mean-field and kinetic equations with either microscopic or macroscopic level descriptions. In this book the reader will find not only a wide spectrum of multiscale analysis results (like convergence proofs), but also practically important information such as derivations of mean-field equations, methods to handle hard contacts numerically, to model group behavior, to quantitative estimate microscopic/macroscopic segregation of competing species, to quantitative understand the limits of validity of mass-action kinetics for simple reactions.

Zielgruppe

Research

Autoren/Hrsg.

Muntean, Adrian

Toschi, Federico

Inhaltsverzeichnis

The derivation of swarming models: mean-field limit and Wasserstein distances.- Non-smooth evolution models in crowd dynamics: mathematical and numerical issues.- Pedestrians moving in the dark: balancing measures and playing games on lattices.- Stochastic competition between two populations in space.- Discrete and continuum dynamics of reacting and interacting individuals.- Multiscale crowd dynamics: modeling and theory.