activity
20192026
most citedExtension operators and Korn inequality for variable coefficients in perforated domains with applications to homogenization of viscoelastic non-simple materials

1 citations · 2 across the 13 of their papers we have counts for

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Showing 2024 · math.APShow all

5 papers · 2 filters

math.AP2024

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…

math.AP2024

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…

math.AP2024

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],…

math.AP2024

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…

math.AP2024

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…