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Effective interface laws for fluid flow and solute transport through thin reactive porous layers
Markus Gahn, Maria Neuss-Radu
We consider a coupled model for fluid flow and transport in a domain consisting of two bulk regions separated by a thin porous layer. The thickness of the layer is of order $\varep…
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…
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…
Effective transmission conditions for reaction-diffusion processes in domains separated by thin channels
Apratim Bhattacharya, Markus Gahn, Maria Neuss-Radu
We consider a reaction--diffusion equation in a domain consisting of two bulk regions connected via small channels periodically distributed within a thin layer. The height and the…