Several choices of scaling are investigated for a coupled system of parabolic partial
differential equations in a two‐phase medium at the microscopic scale. This system may be …

We propose a method which accounts for an evolving microstructure in homogenisation
problems. The concept of the method is quite general and can be applied to a number of …

In this paper we discuss a damage model that is based on microstructure evolution. In the
context of evolutionary Γ-convergence we derive a corresponding effective macroscopic …

Chemical processes in porous media often cause a change of the microstructure of the
porous material due to interaction with the solid matrix, by reaction or adsorption, eg We …

A prototypical reaction–diffusion system in a porous medium is considered, whose
microstructure undergoes an evolution with respect to time. Employing the recently …

Reactive transport in materials with a complex microstructure is a phenomenon that
frequently occurs in nature and in technical applications. An example are chemical reactions …

This paper yields a two-scale homogenization result for a rate-independent elasto-plastic
system. The presented model is a generalization of the classical model of linearized elasto …

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 …

The objective of this research is to investigate the upscaling of flow and transport models
including both an evolving solid-liquid interface and a quite general potentially even …

We consider a reaction–diffusion problem in a porous medium, where the reaction causes a
local increase or decrease of volume of the solid matrix. For the homogenisation of the …