5 papers · 1 filter
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 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…
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…
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…