Effective behavior of random media | Prof. Felix Otto, Max Plank Institut für Mathematik in den Naturwissenschaften und Universität Leipzig
In engineering applications, heterogeneous media are often described in statistical terms. This partial knowledge is sufficient to determine the effective, i.e. large-scale behavior. This effective behavior may be inferred from the Representative Volume Element (RVE) method. I report on last years' progress on the quantitative understanding of what is called
stochastic homogenization of elliptic partial differential equations: optimal error estimates of the RVE method and the homogenization error, and the leading-order characterization of fluctuations. Methods connect to elliptic regularity theory and to concentration of measure arguments.
Einladung von Prof. Jens Rademacher