5 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…
Derivation and analysis of a Stokes-transport system in evolving vessels modeling thermoregulation in human skin
Kilian Hacker, Maria Neuss-Radu
We consider a Stokes flow coupled with advective-diffusive transport in an evolving domain with boundary conditions allowing for inflow and outflow. The evolution of the domain is…
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…