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 derive a two-scale homogenization limit for reaction-diffusion systems where for some
species the diffusion length is of order 1 whereas for the other species the diffusion length is …

The first part of this thesis is concerned with extension operators for Sobolev spaces on
periodic domains and their applications. When homogenizing nonlinear partial differential …

In this article, homogenization of a system of semilinear multispecies diffusion-reaction
equations is shown. The presence of highly nonlinear reaction rate terms on the right-hand …

In this note, we prove the existence of a family of extension operators for Sobolev spaces
defined on ε-periodic domains. The norms of the operators are shown to be independent of …

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 …

PhD Thesis Frank Page 1 Numerical Studies of Models for Electrokinetic Flow and Charged
Solute Transport in Periodic Porous Media Numerische Untersuchung von Modellen zum …

In this paper, we consider diffusion, reaction and dissolution of mobile and immobile
chemical species present in a porous medium. Inflow–outflow boundary conditions are …

In this dissertation, parabolic-pseudoparabolic equations are proposed to couple chemical
reactions, diffusion, flow and mechanics in heterogeneous materials using the framework of …

In order to study the efficiency of the various forms of trapping including mineral trapping
scenarios for CO2 storage behavior in deep layers, demanding highly nonlinear coupled …