We derive, through the deterministic homogenization theory in thin domains, a new model
consisting of Hele-Shaw equation with memory coupled with the convective Cahn-Hilliard …

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 determine the hydrodynamics of a rigid, weakly permeable sphere undergoing
translational oscillations in an incompressible Newtonian fluid. We check using …

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 …

In this paper, we investigate an incompressible flow through a thin corrugated domain fill
with fluid saturated porous medium. The porous medium flow is governed by Navier–Stokes …

A proper orthogonal decomposition (POD) reduced-order finite difference (FD) extrapolating
model is established for the channel flow with local expansion denoted by non-stationary …

The present article deals with the study of the hydrodynamics of a porous sphere in an
oscillatory viscous flow of an incompressible Newtonian fluid. Unsteady Stokes equations …

Theoretical models for the electrokinetics of weakly permeable porous colloidal particles are
absent from the literature. The understanding of this topic will be advanced through a …

We establish results on the asymptotic behaviour of solutions of non-stationary linearized
equations of hydrodynamics with a small viscosity coefficient and periodic data oscillating …

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