Homogenization is a method for modeling processes in microinhomogeneous media, which
are encountered in radiophysics, filtration theory, rheology, elasticity theory, and other …

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

In this paper we outline an approach by Γ-convergence to some problems related to 'double-
porosity'homogenization. Various such models have been discussed in the mathematical …

We studied the asymptotic behavior of the solution of a nonlinear parabolic equation with
nonstandard growth in a ε-periodic fractured medium, where ε is the parameter that …

The paper is devoted to the derivation, by linearization, of simplified homogenized models of
an immiscible incompressible two-phase flow in double porosity media in the case of thin …

The paper deals with homogenization of stationary and non-stationary high contrast periodic
double porosity type problem stated in a porous medium containing a 2D or 3D thin layer …

This paper presents a study of immiscible incompressible two-phase flow through fractured
porous media. The results obtained earlier in the pioneer work by A. Bourgeat, S. Luckhaus …

An initial-boundary-value problem is considered for the parabolic equation {phi}{sup
{epsilon}}(x) u {sub t}{sup {epsilon}}-div (A {sup {epsilon}}(x){nabla} u {sup {epsilon}}= f {sup …

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 …

We consider a two-phase incompressible non-equilibrium flow in fractured porous media in
the framework of Kondaurov's model, wherein the mobilities and capillary pressure depend …