4 papers
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…
Derivation and Numerical Simulation of a Thermodynamically Consistent Magneto Two-Phase Flow Model for Magnetic Drug Targeting
Eberhard Bänsch, Jonas Knoch, Nicolas Neuss +1
In this paper, we derive a novel and comprehensive thermodynamically consistent model for the complex interactions between superparamagnetic iron oxide nanoparticles (SPIONs), a ca…