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 …

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 …

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 …

We consider a reaction-diffusion-advection problem in a perforated medium, with nonlinear
reactions in the bulk and at the microscopic boundary, and slow diffusion scaling. The …

Two-scale convergence for nonlinear Dirichlet problems in perforated domains Page 1
Proceedings of the Royal Society of Edinburgh, 130A, 249{276, 2000 Two-scale …

In recent years the traditional subject of continuum mechanics has grown rapidly and many
new techniques have emerged. This text provides a rigorous, yet accessible introduction to …

This paper is a set of lecture notes for a short introductory course on homogenization. It
covers the basic tools of periodic homogenization (two-scale asymptotic expansions, the …

Nguetseng's notion of two-scale convergence is reviewed, and some related properties of
integral functionals are derived. The coupling of two-scale convergence with convexity and …

For an oscillating boundary of period and amplitude ε, it is known that the asymptotic
behavior when ε tends to zero of a three-dimensional viscous fluid satisfying slip boundary …

We consider transport (thermoconductivity, diffusion, etc.) problem in a system of joined n-
dimensional (n= 2, 3) thin rods, We assume that the joint has the size compared with the …