In the late 1960's and early 1970's, the theory of homogenization became in its own right a
new part of the branch of mathematics concerning partial differential equations and their …

The periodic unfolding method was introduced in 2002 in Cioranescu, Damlamian, and
Griso, CR Acad. Sci. Paris, Ser. 1, 335 (2002), pp. 99–104 (with the basic proofs in …

This paper is devoted to the properties and applications of two-scale convergence
introduced by Nguetseng in 1989. In a self-contained way, we present the details of the …

We define and characterize weak and strong two-scale convergence in Lp, C0 and other
spaces via a transformation of variable, extending Nguetseng's definition. We derive several …

This paper is devoted to two-scale homogenization for a class of rate-independent systems
described by the energetic formulation or equivalently by an evolutionary variational …

This paper deals with the periodic unfolding for sequences defined on one dimensional
lattices in RN. In order to transfer the known results of the periodic unfolding in RN to lattices …

Abstract top We reformulate and extend G. Nguetseng's notion of two-scale convergence by
means of a variable transformation, and outline some of its properties. We approximate two …

The primary objective of this paper is to present a simplified model for an array of Atomic
Force Microscopes (AFMs) operating in static mode. Its derivation is based on the asymptotic …

The context of this work is the design of a software, called MEMSALab, dedicated to the
automatic derivation of multiscale models of arrays of micro-and nanosystems. In this …

Electromagnetic processes in inhomogeneous conductors are here described by coupling
the Maxwell equations with nonlinear constitutive relations of the form and, neglecting …