Stochastic homogenization

Jeudi 30 avril 14:00-15:00 - Felix Otto - Max-Planck-Gesellschaft Leipzig

Résumé : 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 in fact lead to a fresh look upon
this classical area, and to concentration of measure arguments.
We put a special emphasis on annealed Calderón-Zygmund estimates.

Lieu :

Notes de dernières minutes : Attention exceptionnellement le séminaire aura lieu le jeudi 30 avril au lieu du vendredi 1er mai

Stochastic homogenization  Version PDF