This paper presents an overview of singular perturbations and time scales (SPaTS) in
control theory and applications during the period 2002-2012. The previous …

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 …

We study the behavior of the longitudinal flow along a periodic array of cylinders upon
perturbations of the shape of the cross section of the cylinders and the periodicity structure …

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 investigate the effective thermal conductivity of a two-phase composite with thermal
resistance at the interface. The composite is obtained by introducing into an infinite …

From Prandtl's work at the beginning of last century, singular perturbation techniques (SPTs)
have become the basic tool of fluid dynamics. Further the approach was extended to other …

We investigate the behavior of the solution of a mixed problem in a domain with two
moderately close holes. We introduce a positive parameter ε and we define a perforated …