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January 2022
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Séminaire du LJLL : F. Otto
27 novembre 2015 — 14h00
Felix Otto (Institut Max Planck pour les mathématiques dans les sciences Leipzig)
Effective behavior of random media : From an error analysis to regularity theory
Abstract
Heterogeneous media, like a sediment, are often naturally described in statistical terms. How to extract their effective behavior on large scales, like the permeability in Darcy’s law, from the statistical specifications ? A practitioner’s numerical approach is to sample the medium according to these specifications and to determine the permeability in the Cartesian directions by imposing simple boundary conditions.
What is the error made in terms of the size of this representative volume element ? Our interest in what is called stochastic homogenization grew out of this error analysis.
In the course of developing such an error analysis, connections with the classical regularity theory of elliptic equations and with concepts from statistical mechanics have emerged in a clearer way.
Ce séminaire s’inscrit dans le cadre des Leçons Jacques-Louis Lions 2015 qui auront lieu du 24 au 27 novembre 2015. Données par Felix Otto (Institut Max Planck pour les mathématiques dans les sciences Leipzig), ces Leçons comprendront
— un mini cours
A quantitative approach to stochastic homogenization

mardi 24, mercredi 25 et jeudi 26 novembre (salle du séminaire du Laboratoire Jacques-Louis Lions, 15-16-309) (attention, le mini cours aura lieu de 11h30 à 13h contrairement à ce qui avait été annoncé précédemment)
— et un colloquium

Effective behavior of random media : From an error analysis to regularity theory

vendredi 27 novembre (amphithéâtre 25).
Attention ! Exceptionnellement le séminaire a lieu amphi 25 (entrée face à la tour 25, niveau dalle Jussieu), Campus Jussieu, Université Pierre et Marie Curie (Paris VI)