Heida, Martin
[Verfasser:in];
Neukamm, Stefan Minsu
[Verfasser:in];
Varga, Mario
[Verfasser:in]
;
Weierstraß-Institut für Angewandte Analysis und Stochastik
Stochastic two-scale convergence and Young measures
Anmerkungen:
Literaturverzeichnis: Seite 26-29
Deutsche Forschungsgemeinschaft (DFG) through grant CRC 1114 “Scaling Cascades in Complex Systems”, Project C05 “Effective models for materials and interfaces with multiple scales”
Beschreibung:
In this paper we compare the notion of stochastic two-scale convergence in the mean (by Bourgeat, Mikeli´c and Wright), the notion of stochastic unfolding (recently introduced by the authors), and the quenched notion of stochastic two-scale convergence (by Zhikov and Pyatnitskii). In particular, we introduce stochastic two-scale Young measures as a tool to compare mean and quenched limits. Moreover, we discuss two examples, which can be naturally analyzed via stochastic unfolding, but which cannot be treated via quenched stochastic two-scale convergence.