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20232026
most citedHomogenization and simulation of heat transfer through a thin grain layer

3 citations · 7 across the 9 of their papers we have counts for

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math.AP2026

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…

math.AP2026

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…

math.AP2024

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…

math.AP2024

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…

math.AP2024

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…

math.AP2023★ 3 cited

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…

math.AP2023★ 2 cited

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…