Micro‐macro models for dissolution processes are derived from detailed pore‐scale models
applying upscaling techniques. They consist of flow and transport equations at the scale of …

Mineral dissolution and precipitation alter a porous medium's structure and its bulk
properties. Due to the medium's heterogeneity and lack in dynamic pore-scale …

In the first part of this article, we extend the formal upscaling of a diffusion–precipitation
model through a two-scale asymptotic expansion in a level set framework to three …

We consider a porous medium with a pore space that is completely filled by three different
phases: two immiscible fluids (say water and oil) and a solid phase. One fluid phase …

We analyze the behavior of solutions of the Poisson equation with homogeneous Neumann
boundary conditions in a two-dimensional thin domain which presents locally periodic …

The present article deals with the growth of biofilms produced by bacteria within a saturated
porous medium. Starting from the pore‐scale, the process is essentially described by …

The article concerns the growth of biofilms made by chemotactical bacteria within a
saturated porous media. The increase of a biomass on the surface of the solid matrix …

Continuum Modeling An Approach Through Practical Examples Page 1 123 SPRINGER BRIEFS
IN APPLIED SCIENCES AND TECHNOLOGY  MATHEMATICAL METHODS Adrian Muntean …

The aim of this thesis is to derive homogenization results for two different types of systems of
nonlinear parabolic equations, namely reaction-diffusion systems involving different …

In this article, we consider fluid flow and transport in evolving porous media including
vanishing porosity. We analyze the corresponding equations for a given porosity function …