Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Professor Dr. Igor Velčić
University of Zagreb

 
spricht am
 
Donnerstag, 26. Januar 2023
 
um
 
15:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Stochastic homogenization of high-contrast medium «

Abstract:
We study the homogenisation problem for elliptic high-contrast operators Aε whose coecients degenerate as ε goes to 0 on a set of randomly distributed inclusions. We discuss the limit operator (in the sense of the resolvent convergence) and the convergence of spectrum. On the bounded domain the limiting spectrum is equal to the spectrum of the limit operator, while in the whole space setting the spectrum of the limit operator is the subset of the limiting spectrum. Additionally we characterize the limiting spectrum in the case of nite correlation. This is a joint work with Matteo Capoferri (University of Cardi ), Mikhail Cherdantsev (University of Cardi ) and Kirill Cherednichenko (University of Bath).

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernd Schmidt



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