[HTML][HTML] Cosh gradient systems and tilting

MA Peletier, A Schlichting - Nonlinear Analysis, 2023‏ - Elsevier
We review a class of gradient systems with dissipation potentials of hyperbolic-cosine type.
We show how such dissipation potentials emerge in large deviations of jump processes …

Multiscale homogenization for fluid and drug transport in vascularized malignant tissues

R Penta, D Ambrosi, A Quarteroni - Mathematical Models and …, 2015‏ - World Scientific
A system of differential equations for coupled fluid and drug transport in vascularized
(malignant) tissues is derived by a multiscale expansion. We start from mass and momentum …

Homogenization of a reaction-diffusion-advection problem in an evolving micro-domain and including nonlinear boundary conditions

M Gahn, M Neuss-Radu, IS Pop - Journal of Differential Equations, 2021‏ - Elsevier
We consider a reaction-diffusion-advection problem in a perforated medium, with nonlinear
reactions in the bulk and at the microscopic boundary, and slow diffusion scaling. The …

Homogenization of reaction--diffusion processes in a two-component porous medium with nonlinear flux conditions at the interface

M Gahn, M Neuss-Radu, P Knabner - SIAM Journal on Applied Mathematics, 2016‏ - SIAM
In this paper, we are dealing with the mathematical modeling and homogenization of
nonlinear reaction-diffusion processes in a porous medium that consists of two components …

Formal upscaling and numerical validation of unsaturated flow models in fractured porous media

K Kumar, F List, IS Pop, FA Radu - Journal of Computational Physics, 2020‏ - Elsevier
In this work, we consider a mathematical model for describing flow in an unsaturated porous
medium containing a fracture. Both the flow in the fracture as well as in the matrix blocks are …

Derivation of a Biot-Plate-System for a thin poroelastic layer

M Gahn - arxiv preprint arxiv:2403.04392, 2024‏ - arxiv.org
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 …

Homogenization and dimension reduction of the Stokes problem with Navier-slip condition in thin perforated layers

J Fabricius, M Gahn - Multiscale Modeling & Simulation, 2023‏ - SIAM
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 layer and …

Rigorous upscaling of unsaturated flow in fractured porous media

F List, K Kumar, IS Pop, FA Radu - SIAM journal on mathematical analysis, 2020‏ - SIAM
In this work, we consider a mathematical model for flow in an unsaturated porous medium
containing a fracture. In all subdomains (the fracture and the adjacent matrix blocks) the flow …

Derivation of Stokes-plate-equations modeling fluid flow interaction with thin porous elastic layers

M Gahn, W Jäger, M Neuss-Radu - Applicable Analysis, 2022‏ - Taylor & Francis
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 perforated …

Derivation and analysis of a nonlocal Hele-Shaw-Cahn-Hilliard system for flow in thin heterogeneous layers

G Cardone, W Jäger, JL Woukeng - arxiv preprint arxiv:2404.02306, 2024‏ - arxiv.org
We derive, through the deterministic homogenization theory in thin domains, a new model
consisting of Hele-Shaw equation with memory coupled with the convective Cahn-Hilliard …