21 citations · 30 across the 16 of their papers we have counts for
17 papers
Numerical investigation of a homogenized model with effective interface conditions for Stokes flow through porous membranes
Jonas Knoch, Pietro Italiano, Markus Gahn +2
We investigate numerically fluid flow through a thin porous layer, which is modelled as a lower-dimensional interface separating two bulk domains. At this interface, we impose effe…
Homogenization of the compressible Navier-Stokes equations via two-scale convergence in perforated domains
Markus Gahn, Kuntal Bhandari, Šárka Nečasová +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
Eberhard Bänsch, Jonas Knoch, Nicolas Neuss +1
Motivated by Magnetic Drug Targeting (MDT), we derive a thermodynamically consistent two-phase model for the coupled dynamics of superparamagnetic iron oxide nanoparticles (SPIONs)…
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 Nečasová +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…
Global well-posedness and numerical justification of an effective micro-macro model for reactive transport in elastic perforated media
Jonas Knoch, Markus Gahn, Maria Neuss-Radu
In this paper, we investigate an effective model for reactive transport in elastically deformable perforated media. This model was derived by formal asymptotic expansions in [25],…
Multi-Scale Modeling and Simulation of Transport Processes in an Elastically Deformable Perforated Medium
Jonas Knoch, Markus Gahn, Maria Neuss-Radu +1
In this paper, we derive an effective model for transport processes in periodically perforated elastic media, taking into account, e.g., cyclic elastic deformations as they occur i…
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…
Homogenization of a reaction-diffusion-advection problem in an evolving micro-domain and including nonlinear boundary conditions
Markus Gahn, Maria Neuss-Radu, Iulio Sorin Pop
We consider a reaction-diffusion-advection problem in a perforated medium, with nonlinear reactions in the bulk and at the microscopic boundary, and low diffusion scaling. The micr…
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…
Singular limit for reactive diffusive transport through an array of thin channels in case of critical diffusivity
Markus Gahn, Maria Neuss-Radu
We consider a nonlinear reaction--diffusion equation in a domain consisting of two bulk regions connected via small channels periodically distributed within a thin layer. The heigh…
Correctors and error estimates for reaction-diffusion processes through thin heterogeneous layers in case of homogenized equations with interface diffusion
Markus Gahn, Willi Jäger, Maria Neuss-Radu
In this paper, we construct approximations of the microscopic solution of a nonlinear reaction--diffusion equation in a domain consisting of two bulk-domains, which are separated b…
Homogenization of a pore scale model for precipitation and dissolution in porous media
Kundan Kumar, Maria Neuss-Radu, Iuliu Sorin Pop
In this paper we employ homogenization techniques to provide a rigorous derivation of the Darcy scale model for precipitation and dissolution in porous media proposed in [19]. The…