Homogenization of a spectral problem in a bounded domain with a high contrast in both
stiffness and density is considered. For a special critical scaling, two-scale asymptotic …

We deal with the homogenization of initial-boundary-value problems for parabolic equations
with asymptotically degenerate rapidly oscillating periodic coefficients, which are models for …

The spectral problem for an infinite periodic medium perturbed by a compact defect is
considered. For a high contrast small ε-size periodicity and a finite size defect we consider …

Periodic media formed by a large number of cells, which can be inhomogeneous and
defines a multiscale inhomogeneous porous media, will be discussed. Filtration problems …

The problem of periodic homogenisation for a conducting two-phase composite exhibiting
non-locality in the overall behaviour is considered. The matrix is isotropic and its conductivity …

It is a very well‐known fact that the effective properties of a heterogeneous electrical medium
may contain a non‐local term. The same phenomenon can occur within a heterogeneous …

Homogenization theorems are obtained for nonlinear second-order elliptic operators
occurring in some models of media with double porosity. Basic homogenization properties …

The work aims at rigorous derivation of the so-called" size effects" widely documented
experimentally in the overall behaviour of" microstructured" solid media when the" scale …

Рассматривается осреднение начально-краевых задач для параболических уравнений
с периодическими быстроосциллирующими и асимптотически вырождающимися …

Periodic media formed by a large number of cells, which can be inhomogeneous and
defines a multiscale inhomogeneous porous media, will be discussed. Filtration problems …