Several choices of scaling are investigated for a coupled system of parabolic partial
differential equations in a two‐phase medium at the microscopic scale. This system may be …

We study the homogenization problem for a convection-diffusion equation in a periodic
porous medium in the presence of a chemical reaction on the pores' surface. Mathematically …

A prototypical reaction–diffusion system in a porous medium is considered, whose
microstructure undergoes an evolution with respect to time. Employing the recently …

The present paper continues investigations devoted to the application of the
homogenization method to transport theory in porous media. The method of solving so …

An upscaled elliptic-parabolic system of partial differential equat ions describing the
multiscale flow of a single-phase incompressible fluid and transport of a dissolved chemical …

We deal with homogenization problem for nonlinear elliptic and parabolic equations in a
periodically perforated domain, a nonlinear Fourier boundary conditions being imposed on …

We study an elliptic degenerate equation in the framework of the periodic homogenization in
a highly heterogeneous medium. Denoting by ϵ the size of the period, let F ϵ be the set of …

The aim of this paper is to study the asymptotic behavior of the solution of a convection–
diffusion equation in perforated domains with oscillating velocity and a Robin boundary …

< quad We consider the homogenisation of a coupled system of parabolic partial differential
equations in a heterogeneous two-phase medium and study various choices of scaling of …

We study the asymptotic behaviour of the solution of a reaction–diffusion equation in a ε-
periodic partially fractured medium with Robin interface conditions. We consider a model …