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DTSTART:20170326T030000
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DTSTART:20161030T020000
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BEGIN:VEVENT
DTSTAMP:20260428T224325Z
UID:57209db7e4da0474957434@ist.ac.at
DTSTART:20161205T160000
DTEND:20161205T171500
DESCRIPTION:Speaker: Felix Otto\nAbstract: Heterogeneous media\, like a sed
 iment\, 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 practioneers numerical app
 roach is to sample the medium according to these specifications and to det
 ermine the permeability in the Cartesian directions by imposing simple bou
 ndary conditions. What is the error made in terms of the size of this ``re
 presentative volume element''?\nOur interest in what is called ``stochasti
 c homogenization'' grew out of this error analysis. In the course of devel
 oping such an error analysis\, connections with the regularity theory of e
 lliptic equations and with concepts from statistical mechanics have emerge
 d in a clearer way. We also gained an understanding of the structure of fl
 uctuations of any solution: On large scales\, the asymptotically Gaussian 
 fluctuations are characterized by a single tensor-valued white noise\, whi
 ch also be extracted from the representative volume method.
LOCATION:Raiffeisen Lecture Hall\, Central Building\, ISTA
ORGANIZER:aeller@ist.ac.at
SUMMARY:Felix Otto: The Institute Colloquium: Effective behavior of random 
 media
URL:https://talks-calendar.ista.ac.at/events/229
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