7 papers · 1 filter
Homogenization of the compressible Navier-Stokes equations via two-scale convergence in perforated domains
Markus Gahn, Kuntal Bhandari, Šárka NeÄasová +1
We study the homogenization of the compressible isentropic Navier-Stokes equations in periodically perforated domains where the size of the obstacles is of the same order as the di…
Effective elastic wave transmission through a periodically voided interface
Markus Gahn, Tanja Lochner, Malte A. Peter
Effective interface conditions for a periodically voided thin layer separating two homogeneous bulk regions are derived for the elastic wave equation by taking the simultaneous lim…
Homogenized limits of Stokes flow and advective transport in thin perforated domains
Markus Gahn, Vlad Revnic
We deal with the rigorous homogenization and dimension reduction of flow and transport problems posed in thin -periodic perforated layers with thickness of order $\var…
Effective interface laws of Navier-slip-type involving the elastic displacement for Stokes flow through a thin porous elastic layer
Markus Gahn, Maria Neuss-Radu
This paper presents a rigorous derivation of an effective model for fluid flow through a thin elastic porous membrane separating two fluid bulk domains. The microscopic setting inv…
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…
Asymptotic limit of the compressible Navier-Stokes system on domains with rough boundaries
Kuntal Bhandari, Markus Gahn, Šárka NeÄasová +2
In this paper, we study the asymptotic behavior of solutions to the compressible Navier-Stokes system considered on a sequence of spatial domains, whose boundaries exhibit fast osc…