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Collective Dynamics from Bacteria to Crowds

An Excursion Through Modeling, Analysis and Simulation

Adrian Muntean, Federico Toschi (Herausgeber)

Buch | Hardcover

VII, 177 Seiten

2014 | 2014
Springer Wien (Verlag)
978-3-7091-1784-2 (ISBN)

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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.

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.

Erscheint lt. Verlag	8.4.2014
Reihe/Serie	CISM International Centre for Mechanical Sciences
Zusatzinfo	VII, 177 p. 29 illus.
Verlagsort	Vienna
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	Balance of Measures • Complexity • Microscopic Dynamics • particle systems • populations dynamics
ISBN-10	3-7091-1784-4 / 3709117844
ISBN-13	978-3-7091-1784-2 / 9783709117842
Zustand	Neuware