We consider a model for the flow of two immiscible and incompressible fluid phases in a
porous medium. A surfactant is dissolved in one of the fluid phases, and its concentration at …

The paper is devoted to the homogenization of Richards' type equations in a deterministic
multiscale porous medium filled with soft inclusions. The medium consists of a deterministic …

This paper presents a study of immiscible compressible two-phase, such as water and gas,
flow through highly heterogeneous porous media with periodic microstructure. Such models …

In this paper we consider the multiscale modelling of water transport in vegetated soil. In the
microscopic model we distinguish between subdomains of soil and plant tissue, and use the …

We establish a homogenization result for a fully nonlinear degenerate parabolic system with
critical growth arising from the heat and moisture flow through a partially saturated porous …

The paper deals with a degenerate model of immiscible compressible two-phase flow in
heterogeneous porous media. We consider liquid and gas phases (water and hydrogen) …

In this paper, we establish a homogenization result for a doubly nonlinear parabolic system
arising from the hygro‐thermo‐chemical processes in porous media taking into account …

A double porosity model of multidimensional immiscible compressible two-phase flow in
fractured reservoirs is derived by the mathematical theory of homogenization. Special …

The paper deals with stochastic homogenization of a system modeling immiscible
compressible two-phase, such as water and gas, flow in random porous media. The problem …

In this paper, we establish a homogenization result for a nonlinear degenerate system
arising from two-phase flow through fractured porous media with periodic microstructure …