21 citations · 32 across the 21 of their papers we have counts for
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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…
Two-scale tools for homogenization and dimension reduction of perforated thin layers: Extensions, Korn-inequalities, and two-scale compactness of scale-dependent sets in Sobolev spaces
Markus Gahn, Willi Jäger, Maria Neuss-Radu
This investigation develops basic methods for the multi-scale analysis for problems in thin porous layers. More precisely, we provide tools for the homogenization in case of "tange…
Homogenization of a nonlinear drift-diffusion system for multiple charged species in a porous medium
Apratim Bhattacharya, Markus Gahn, Maria Neuss-Radu
We consider a nonlinear drift-diffusion system for multiple charged species in a porous medium in 2D and 3D with periodic microstructure. The system consists of a transport equatio…
Partial differential equations on hypergraphs and networks of surfaces: derivation and hybrid discretizations
Andreas Rupp, Markus Gahn, Guido Kanschat
We introduce a general, analytical framework to express and to approximate partial differential equations (PDEs) numerically on graphs and networks of surfaces---generalized by the…