Organizers: Thomas Eiter, Marita Thomas, Martin Heida

Abstract:

In many problems from material science, geophysics and fluid dynamics, certain material or geometrical properties vary strongly on a local scale. To study their effect on the macroscopic behavior and to obtain effective models, one can derive averaged equations by passage to a homogenized framework. Moreover, by introducing some randomness, one can take into account that the exact distribution of the small-scale fluctuations is usually unknown in applications. This minisymposium brings together experts on the mathematical investigation of such stochastic homogenization problems