3 papers
math.PR2021
Homogenization of a diffusion in a high-contrast random environment and related Markov semigroups
Brahim Amaziane, Andrey Piatnitski, Elena Zhizhina
The goal of the paper is to describe the large time behaviour of a Markov process associated with a symmetric diffusion in a high-contrast random environment and to characterize th…
math.AP2020
Homogenization of immiscible compressible two--phase flow in random porous media
Brahim Amaziane, Leonid Pankratov, Andrey Piatnitski
The paper deals with homogenization of a model problem describing an immiscible compressible two-phase flow in random statistically homogeneous porous media. We derive the effectiv…
math-ph2005
Effective Macrodiffusion in Solute Transport Through Heterogeneous Porous Media
Brahim Amaziane, Alain Bourgeat, Mladen Jurak
Homogenization method is used to analyse the equivalent behavior of transient flow of a passive solute through highly heterogeneous porous media. The flow is governed by a coupled…