21 citations · 33 across the 6 of their papers we have counts for
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A Two-Component Poro-viscoelastic System for Fibre-Reinforced Hydrogels: Analysis and Homogenization
Michael Eden, Hari Shankar Mahato
We study the multiscale behavior of a coupled visco-poroelastic system arising in the modelling of fibre-reinforced hydrogels (FIHs) used in tissue engineering scaffolds. The compo…
A multiscale quasilinear system for colloids deposition in porous media: Weak solvability and numerical simulation of a near-clogging scenario
Michael Eden, Christos Nikolopoulos, Adrian Muntean
We study the weak solvability of a quasilinear reaction-diffusion system nonlinearly coupled with an linear elliptic system posed in a domain with distributed microscopic balls in…
Homogenization of a Poroelasticity Model for Fibre-Reinforced Hydrogels
Michael Eden, Hari Shankar Mahato
In this paper, the analysis and homogenization of a poroelastic model for the hydro-mechanical response of fibre-reinforced hydrogels is considered. Here, the medium in question is…
Homogenization of a moving boundary problem with prescribed normal velocity
Michael Eden
The analysis and homogenization of a moving boundary problem for a highly heterogeneous, periodic two-phase medium is considered. In this context, the normal velocity governing the…
Corrector Estimates for the Homogenization of a Two-Scale Thermoelasticity Problem With a Priori Known Phase Transformations
Michael Eden, Adrian Muntean
We investigate corrector estimates for the solutions of a thermoelasticity problem posed in a highly heterogeneous two-phase medium and its corresponding two-scale thermoelasticity…
Homogenization of a Fully Coupled Thermoelasticity Problem for a Highly Heterogeneous Medium With a Priori Known Phase Transformations
Michael Eden, Adrian Muntean
We investigate a linear, fully coupled thermoelasticity problem for a highly heterogeneous, two-phase medium. The medium in question consists of a connected matrix with disconnecte…