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, introduced in [D. Cioranescu, A. Damlamian, G. Griso,
Periodic unfolding and homogenization, CR Acad. Sci. Paris, Ser. I 335 (2002) 99–104], was …

We study fracture and debonding of a thin stiff film bonded to a rigid substrate through a thin
compliant layer, introducing a two-dimensional variational fracture model in brittle elasticity …

The elasticity problem for two domains separated by a heterogeneous layer of the thickness
ε is considered. The layer has an ε-periodic structure, ε≪ 1, including a multiple cracks and …

In this paper we study the convergence of nonlinear Dirichlet problems for systems of
variational elliptic PDEs defined on randomly perforated domains of\(\mathbb {R}^ n\). Under …

Reduced models for linearly elastic thin films allowing for fracture, debonding or delamination
Page 1 Interfaces and Free Boundaries 18 (2016), 545–578 DOI 10.4171/IFB/373 Reduced …

This article offers various mathematical contributions to the behavior of thin films. The
common thread is to view thin film behavior as the variational limit of a three-dimensional …

A first order model for the transmission of waves through a sound-hard perforation along an
interface is derived. Mathematically, we study the Neumann problem for the Helmholtz …

Let $\Omega $ be a domain in $\mathbb {R}^ n $, $\Gamma $ be a hyperplane intersecting
$\Omega $, $\varepsilon> 0$ be a small parameter, and $\Omega_\varepsilon=\Omega …

We study a parabolic problem set in a domain divided by a perforated interface. The pores
alternate between an open and a closed state, periodically in time. We consider the …