Felix Otto (Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig, Germany)
Friday, April 5, 2019 - 10:15
SFB 1294 Colloquium, University of Potsdam
August-Bebel-Straße 89 , 14482 Potsdam Griebnitzsee, Campus Griebnitzsee, House 06, Room 3
Felix Otto will speak as invited guest during this joint colloquium of SFB 1114 and SFB 1294 on the Effective Behavior of random media Abstract: In engineering applications, heterogeneous media are often described in statistical terms. This partial knowledge is sucient 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, leading-order characterization of fluctuations, effective multipole expansions. Methods connect to elliptic regularity theory and to concentration of measure arguments.
submitted by Liv Heinecke (liv.heinecke@uni-potsdam.de, 0331-977-203137)