We consider a domain which has the form of a brush in 3 D or the form of a comb in 2 D, ie
an open set which is composed of cylindrical vertical teeth distributed over a fixed basis. All …

In this paper, we consider a domain Ω ε⊂ RN, N≥ 2, with a very rough boundary depending
on ε. For instance, if N= 3 Ω ε has the form of a brush with an ε-periodic distribution of thin …

Homogenization of an elliptic PDE with periodic oscillating coefficients and associated
optimal control problems with energy type cost functional is considered. The domain is a 3 …

We consider quasilinear optimal control problems involving a thick two-level junction Ωε
which consists of the junction body Ω0 and a large number of thin cylinders with the cross …

We consider a linear parabolic problem in a thick junction domain which is the union of a
fixed domain and a collection of periodic branched trees of height of order 1 and small width …

We consider a semi-linear parabolic problem in a thick junction Ω ε, which is the union of a
domain Ω 0 and a lot of joined thin trees situated ε-periodically along some manifold on the …

A periodic homogenization model of the electrostatic equation is constructed for a comb
drive with a large number of fingers and whose mode of operation is in-plane and …

We present a new mathematical object designed to analyze the oscillations occurring on
both microscopic and macroscopic scales in a wave equation with oscillating coefficients …

In the present article, we study the homogenization of a second-order elliptic PDE with
oscillating coefficients in two different domains, namely a standard rectangular domain with …

In this article, we study the homogenization of optimal control problems subject to second-
order semi-linear elliptic PDEs with matrix coefficients in two different types of oscillating …