4 papers
Global well-posedness and numerical justification of an effective micro-macro model for reactive transport in elastic perforated media
Jonas Knoch, Markus Gahn, Maria Neuss-Radu
In this paper, we investigate an effective model for reactive transport in elastically deformable perforated media. This model was derived by formal asymptotic expansions in [25],…
Rigorous derivation of an effective model for coupled Stokes advection, reaction and diffusion with freely evolving microstructure
Markus Gahn, Malte A. Peter, Iuliu Sorin Pop +1
We consider the homogenisation of a coupled Stokes flow and advection-reaction-diffusion problem in a perforated domain with an evolving microstructure of size . React…
Derivation of a Biot-Plate-System for a thin poroelastic layer
Markus Gahn
We study incompressible fluid flow through a thin poroelastic layer and rigorously derive a macroscopic model when the thickness of the layer tends to zero. Within the layer we ass…
Derivation of Stokes-Plate-Equations modeling fluid flow interaction with thin porous elastic layers
Markus Gahn, Maria Neuss-Radu, Willi Jäger
In this paper we investigate the interaction of fluid flow with a thin porous elastic layer. We consider two fluid-filled bulk domains which are separated by a thin periodically pe…