3 citations · 7 across the 9 of their papers we have counts for
9 papers
Reactive Flow around Spherically Evolving Particles in Critical and Supercritical Dilute Regimes
Michael Eden, Richard M. Höfer
We study a coupled Stokes-reaction-diffusion-advection system in a three dimensional domain perforated by a large number of evolving spherical inclusions with radii of order $\vare…
A mathematical model for colloids deposition in porous media combined with a moving boundary at the microscale: Solvability and numerical simulation
Christos Nikolopoulos, Michael Eden, Adrian Muntean
We study a reaction-diffusion model posed on two distinct spatial scales that accounts for diffusion, aggregation, fragmentation, and deposition of populations of colloidal particl…
Analysis of a Hydrodynamic Thermoelastic Mixture Model
Michael Eden, Meraj Alam, Prakash Kumar +1
This study proposes and explores a hydrodynamic thermo-elasticity system within the context of mixture models, encompassing fluid and solid phases, with particular emphasis on biol…
Precomputing approach for a two-scale phase transition model
Michael Eden, Tom Freudenberg, Adrian Muntean
In this study, we employ analytical and numerical techniques to examine a phase transition model with moving boundaries. The model displays two relevant spatial scales pointing out…
Analysis and Simulation of a Fluid-Heat System in a Thin, Rough Layer in Contact With a Solid Bulk Domain
Tom Freudenberg, Michael Eden
We investigate the effective coupling between heat and fluid dynamics within a thin fluid layer in contact with a solid structure via a rough surface. Moreover, the opposing vertic…
Thermo-Elasticity Problems with Evolving Microstructures
Michael Eden, Adrian Muntean
We consider the mathematical analysis and homogenization of a moving boundary problem posed for a highly heterogeneous, periodically perforated domain. More specifically, we are lo…
Numerical Exploration of Nonlinear Dispersion Effects via a Strongly Coupled Two-scale System
Surendra Nepal, Vishnu Raveendran, Michael Eden +2
The effective, fast transport of matter through porous media is often characterized by complex dispersion effects. To describe in mathematical terms such situations, instead of a s…
Homogenization and simulation of heat transfer through a thin grain layer
Tom Freudenberg, Michael Eden
We investigated the effective influence of grain structures on the heat transfer between a fluid and solid domain using mathematical homogenization. The presented model consists of…
Strongly Coupled Two-scale System with Nonlinear Dispersion: Weak Solvability and Numerical Simulation
Vishnu Raveendran, Surendra Nepal, Rainey Lyons +2
We investigate a two-scale system featuring an upscaled parabolic dispersion-reaction equation intimately linked to a family of elliptic cell problems. The system is strongly coupl…