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math.AP2022★ 1 cited
Homogenization and dimension reduction of the Stokes-problem with Navier-Slip condition in thin perforated layers
John Fabricius, Markus Gahn
We study a Stokes system posed in a thin perforated layer with a Navier-slip condition on the internal oscillating boundary from two viewpoints: 1) dimensional reduction of the lay…
math.AP2022
Multi-Scale Modeling and Simulation of Transport Processes in an Elastically Deformable Perforated Medium
Jonas Knoch, Markus Gahn, Maria Neuss-Radu +1
In this paper, we derive an effective model for transport processes in periodically perforated elastic media, taking into account, e.g., cyclic elastic deformations as they occur i…
math.AP2022
Homogenization of a mineral dissolution and precipitation model involving free boundaries at the micro scale
Markus Gahn, Iuliu Sorin Pop
In this work we present the homogenization of a reaction-diffusion model that includes an evolving microstructure. Such type of problems model, for example, mineral dissolution and…