21 citations · 32 across the 21 of their papers we have counts for
23 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…
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 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],…
Rigorous derivation of an effective model for coupled Stokes advection, reaction and diffusion with freely evolving microstructure
Markus Gahn, Malte A. Peter, Iuliu Sorin Pop +1
We consider the homogenisation of a coupled Stokes flow and advection-reaction-diffusion problem in a perforated domain with an evolving microstructure of size . React…
Derivation of a Biot-Plate-System for a thin poroelastic layer
Markus Gahn
We study incompressible fluid flow through a thin poroelastic layer and rigorously derive a macroscopic model when the thickness of the layer tends to zero. Within the layer we ass…
Extension operators and Korn inequality for variable coefficients in perforated domains with applications to homogenization of viscoelastic non-simple materials
Markus Gahn
In this paper we present the homogenization for nonlinear viscoelastic second-grade non-simple perforated materials at large strain in the quasistatic setting. The reference domain…
Homogenization and dimension reduction of the Stokes-problem with Navier-Slip condition in thin perforated layers
John Fabricius, Markus Gahn
We study a Stokes system posed in a thin perforated layer with a Navier-slip condition on the internal oscillating boundary from two viewpoints: 1) dimensional reduction of the lay…
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…
Homogenization of a mineral dissolution and precipitation model involving free boundaries at the micro scale
Markus Gahn, Iuliu Sorin Pop
In this work we present the homogenization of a reaction-diffusion model that includes an evolving microstructure. Such type of problems model, for example, mineral dissolution and…
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…
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…
Homogenization of a two-phase problem with nonlinear dynamic Wentzell-interface condition for connected-disconnected porous media
Markus Gahn
We investigate a reaction-diffusion problem in a two-component porous medium with a nonlinear interface condition between the different components. One component is connected and t…
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…