Collective Dynamics from Bacteria to Crowds (eBook, PDF)

An Excursion Through Modeling, Analysis and Simulation

• Format: PDF

Produktbeschreibung

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.

Produktdetails

• Verlag: Springer Wien
• Erscheinungstermin: 18. März 2014
• Englisch
• ISBN-13: 9783709117859
• Artikelnr.: 44126685

Inhaltsangabe

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.