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 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 …

The periodic unfolding method was introduced by D. Cioranescu, A. Damlamian and G.
Griso for studying the classical periodic homogenization in fixed domains and more recently …

In this paper, we consider a stationary heat problem on a two-component domain with an ε-
periodic imperfect interface, on which the heat flux is proportional via a nonlinear function to …

We consider the homogenisation of a coupled reaction–diffusion process in a porous
medium with evolving microstructure. A concentration-dependent reaction rate at the …

In this paper, we consider the asymptotic behavior of a semilinear elliptic problem in a thin
two‐composite domain with an imperfect interface, where the flux is discontinuous. For this …

The paper is dedicated to the asymptotic behavior of ε ε-periodically perforated elastic (3-
dimensional, plate-like or beam-like) structures as ε→ 0 ε→0. In case of plate-like or beam …

Free vibration characteristics of thin perforated shells of revolution vary depending not only
on the dimensionless thickness of the shell but also on the perforation structure. For any …

A nonlinear Poisson–Boltzmann equation with inhomogeneous Robin type boundary
conditions at the interface between two materials is investigated. The model describes the …

We analyze the behavior of solutions of the Poisson equation with homogeneous Neumann
boundary conditions in a two-dimensional thin domain which presents locally periodic …