Homogenization Results for Composite Media [610097]
Homogenization Results for Composite Media
with Imperfect Interfaces
Claudia TIMOFTE
University of Bucharest, Faculty of Physics
Bucharest-Magurele, P.O. Box MG-11, Romania
E-mail: [anonimizat]
Abstract
In this talk, via the periodic unfolding method, we shall discuss
the asymptotic behavior of the solution of a coupled system of partial
di erential equations arising in the modeling of a reaction-di usion
problem in a periodic structure formed by two interwoven and con-
nected components with imperfect contact at their interface. Depen-
ding on the geometry of the composite medium, on the properties of
its two constituents and on the magnitude of the jump of the solution
across the imperfect interface, various types of problems arise at the
macroscale. Our setting is relevant for analyzing contact problems for
multiphase composites with imperfect interfaces or electrical conduc-
tion phenomena in biological tissues, as well.
Key words : homogenization, imperfect interfaces, composite media.
AMS subject classi cation : 35B27, 74M15.
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