This book is the first introductory and self-contained presentation of a method for the
analysis of singularly perturbed boundary value problems that we have called the Functional …

We consider the effective conductivity λeff of a periodic two-phase composite obtained by
introducing into an infinite homogeneous matrix a periodic set of inclusions of a different …

We consider the Dirichlet problem for the Laplace equation in a planar domain with a small
hole. The diameter of the hole is proportional to a real parameter ε and we denote by u ε the …

The purpose of this paper is to study boundary value problems of Robin type for the
Brinkman system and a semilinear elliptic system, called the Darcy–Forchheimer–Brinkman …

In this survey, we present some results on the behavior of effective properties in presence of
perturbations of the geometric and physical parameters. We first consider the case of a …

We study the asymptotic behavior of the effective thermal conductivity of a periodic two-
phase dilute composite obtained by introducing into an infinite homogeneous matrix a …

We present an analytic and numerical analysis of several properties of a composite material
with stiff imperfect interface conditions. Spaces of functions are identified wherewe can …

We study the asymptotic behavior of the effective thermal conductivity of a periodic two-
phase dilute composite obtained by introducing into an infinite homogeneous matrix a …

We consider a heat transmission problem for a composite material which fills the n-
dimensional Euclidean space. The composite has a periodic structure and consists of two …

We consider a Newtonian fluid flowing at low Reynolds numbers along a spatially periodic
array of cylinders of diameter proportional to a small nonzero parameter e. Then for e= 0 and …