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.

This book develops continuum modeling skills and approaches the topic from three sides: (1) derivation of global integral laws together with the associated local differential equations, (2) design of constitutive laws and (3) modeling boundary processes.

This book is the offspring of a summer school school "Macroscopic and large scale

phenomena: coarse graining, mean field limits and ergodicity," which was held in 2012 at the University of Twente, the Netherlands. The focus lies on mathematically rigorous methods for multiscale problems of physical origins.

Each of the four book chapters is based on a set of lectures delivered at the school, yet all authors have expanded and refined their contributions.

Francois Golse delivers a chapter on the dynamics of large particle systems in the mean field limit and surveys the...

Melissas Stern" ist die Geschichte von zwei Schwestern und ihren Freunden, die viel Spass erleben und mancherlei glanzende Ideen haben. Melissa (meist Meli genannt) erzahlt die Geschichte ihrer Familie, die im schonen Schwabenland" in Sudwestdeutschland lebt. Meli argert sich haufig uber ihre so anders geartete Schwester Julie, was Probleme in der Familie verursacht, die in humorvoller Weise beschrieben werden. Die Geschichte zeigt auch, dass ein Kind in einer christlichen Familie aufwachsen kann, ohne von der Kraft des Evangeliums verandert zu werden. So entstehen Missverstandnisse. Durch...