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 …

The composites of materials with high contrasting properties is an interesting topic to study
as it has applications. In this article, we wish to study problems in high oscillating domains …

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 consider an optimal control problem posed on a domain with a highly oscillating smooth
boundary where the controls are applied on the oscillating part of the boundary. There are …

In this paper, we analyse nonlocal equations in perforated domains. We consider nonlocal
problems of the form weakly* in L∞(Ω), we analyse the limit as ε→ 0 of the solutions to the …

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 …

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 …

The paper explores an optimal control problem concerning transport processes in a porous
medium. The transport phenomena is governed by diffusion-reaction equations, which is …

An optimal boundary control problem in a domain with oscillating boundary has been
investigated in this paper. The controls are acting periodically on the oscillating boundary …