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Summary: Boundary Layer Techniques for Deriving the E ective
Properties of Composite Materials
Habib Ammari
Centre de Mathematiques Appliquees
Ecole Polytechnique
91128 Palaiseau Cedex, France
ammari@cmapx.polytechnique.fr
Hyeonbae Kang y
School of Mathematical Sciences
Seoul National University
Seoul 151-747, Korea
hkang@math.snu.ac.kr
Karim Touibi
Centre de Mathematiques Appliquees
Ecole Polytechnique
91128 Palaiseau Cedex, France
touibi@cmapx.polytechnique.fr
Abstract
In this paper we present mathematically rigorous derivations of asymptotic expan-
sions of the e ective electrical conductivity of periodic dilute composites in terms of
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