Active Particles, Volume 1

Advances in Theory, Models, and Applications

Nicola Bellomo, Pierre Degond, Eitan Tadmor (Herausgeber)

Buch | Hardcover

X, 402 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-49994-9 (ISBN)

Artikel merken

This volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics. The contributing authors are leading experts working in this challenging field, and each of their chapters provides a review of the most recent results in their areas and looks ahead to future research directions. The approaches to studying active matter are presented here from many different perspectives, such as individual-based models, evolutionary games, Brownian motion, and continuum theories, as well as various combinations of these. Applications covered include biological network formation and network theory; opinion formation and social systems; control theory of sparse systems; theory and applications of mean field games; population learning; dynamics of flocking systems; vehicular traffic flow; andstochastic particles and mean field approximation. 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.

Albi, G., Burger, M., Haskovec, J., Markowich, P., Schlottbom, M., Discrete and Continuum Modeling of Biological Network Formation.- Albi, G., Pareschi, L., Toscani, G., Zanella, M., Recent Advances in Opinion Modeling: Control and Social Influence.- Aydogdu, A., Caponigro, M., McQuade, S., Piccoli, B., Pouradier Duteil, N., Rossi, F., Trélat, E., Interaction Network, State Space, and Control in Social Dynamics.- Benamou, J., Carlier, G., Santambrogio, F., Variational Mean Field Games.- Bongini, M., Fornasier, M., Sparse Control of Multiagent Systems.- Burini, D., Gibelli, L., Outada, N., A Kinetic Theory Approach to the Modeling of Complex Living Systems.- Carrillo, J., Choi, Y., Pérez, S., A Review of Attractive-Repulsive Hydrodynamics for Consensus in Collective Behavior.- Choi, Y., Ha, S., Li, Z., Emergent Dynamics of the Cucker-Smale Flocking Model and its Variants.- Di Francesco, M., Fagioli, S., Rosini, M., Russo, G., Follow-the-Leader Approximations of Macroscopic Models for Vehicular and Pedestrian Flows.- Jabin, P., Wang, Z., Mean Field Limit for Stochastic Particle Systems.

Erscheinungsdatum	29.04.2017
Reihe/Serie	Modeling and Simulation in Science, Engineering and Technology
Zusatzinfo	X, 402 p. 100 illus., 94 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Applied mathematics • Biological Network Formation • Complex Systems • Cucker-Smale Flocking Model • Cybernetics and systems theory • Dynamics and statics • Follow-the-Leader Apporximations • Hydrodynamic Models of Collective Behavior • Mathematical Kinetic Theory of Active Particles • Mathematical Modeling and Industrial Mathematics • Mathematical Modelling • Mathematics • mathematics and statistics • Maths for engineers • nonequilibrium statistical mechanics • Opinion Modeling • Pedetrian Flows • Sparse Control of Multi-Agent Systems • Statistical Physics • Statistical Physics and Dynamical Systems • stochastic particle systems • Systems Theory, Control • Variational Mean Field Games • Vehicular Flows
ISBN-10	3-319-49994-7 / 3319499947
ISBN-13	978-3-319-49994-9 / 9783319499949
Zustand	Neuware