5 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…