Approximate Models of Mechanics of Composites: An Asymptotic Approach is an essential
guide to constructing asymptotic models and mathematical methods to correctly identify the …

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

We consider non-stationary diffusion problems in a periodic medium with inclusions filled
with a material of small conductivity. We propose homogenized equations whose solutions …

Non-stationary problems of linearized elasticity theory in a periodic medium with pores filled
with an easily deformable material are considered. The period of the medium is a small …

The authors analyze dynamic processes of filtration in porous media and consider periodic
porous media formed by a large number of “blocks” with low permeability, separated by a …

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 …

Results on the convergence of solutions of variational inequalities for obstacle problems are
proved. The variational inequalities are defined by a non-linear monotone operator of the …

The homogenization of a spectral problem on small-periodic networks with periodic
boundary conditions is considered. Asymptotic expansions for eigenfunctions and …

Рассматривается нестационарная задача линеаризованной теории упругости в
периодической среде с порами, заполненными легкоде ормируемым материалом …

В работе рассматриваются нестационарные уравнения параболического типа с
коэффициентами, зависящими от двух малых положительных параметров sua …