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 investigate two-phase flow in porous media and derive a two-scale model, which
incorporates pore-scale phase distribution and surface tension into the effective behavior at …

Starting from a classic non-local (in space) Cahn–Hilliard–Stokes model for two-phase flow
in a thin heterogeneous fluid domain, we rigorously derive by mathematical homogenization …

In this study, we present a rigorous model for analyzing the behavior of three immiscible
components within incompressible viscous flows. By combining the Cahn–Hilliard free …

Andro Mikelic passed away on 28th November 2020, after a sudden and short illness. He
was a professor of Mathematics at the Institut Camille Jordan, the Mathematics Department …

[EN] We consider the flow of two immiscible fluid phases in a porous medium. At the scale of
pores, the two fluid phases are separated by interfaces that are transported by the flow …

The overarching topic of this dissertation is multi-phase flow in porous media. In the
presence of salts and their ions, precipitation and dissolution can alter the pore-space and …