Collective Dynamics from Bacteria to Crowds An Excursion Through Modeling, Analysis and Simulation /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Muntean, Adrian (Editor), Toschi, Federico (Editor)
• Format: Electronic eBook
• Language: English
• Published: Vienna : Springer Vienna : Imprint: Springer, 2014.
• Edition: 1.
• Series: CISM International Centre for Mechanical Sciences, 553
• Subjects: Physics.; Biomathematics.; Statistical physics.; Dynamical systems.; Complexity, Computational.; Statistical Physics, Dynamical Systems and Complexity.; Complexity.; Mathematical and Computational Biology.

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...

Table of Contents:

• 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.