12 citations · 24 across the 14 of their papers we have counts for
7 papers · 1 filter
The asymptotic analysis of a Darcy-Stokes system coupled through a curved interface
Fernando A Morales
The asymptotic analysis of a Darcy-Stokes system modeling the fluid exchange between a narrow channel (Stokes) and a porous medium (Darcy) coupled through a curved interf…
A Darcy-Brinkman Model of Fractures in Porous Media
Fernando A Morales, Ralph E Showalter
For a fully-coupled Darcy-Stokes system describing the exchange of fluid and stress balance across the interface between a saturated porous medium and an open very narrow channel,…
A Discussion on the Transmission Conditions for Saturated Fluid Flow Through Porous Media With Fractal Microstructure
Fernando A Morales, Luis C Aristizábal
The present work is aimed to find suitable exchange conditions for saturated fluid flow in a porous medium, when a fractal microstructure is embedded in the porous matrix. Two diff…
Diffusion Processes Homogenization for Scale-Free Metric Networks
Fernando A. Morales, Daniel E. Restrepo
This work discusses the homogenization analysis for diffusion processes on scale-free metric graphs, using weak variational formulations. The oscillations of the diffusion coeffici…
The Interaction Between PDE and Graphs in Multiscale Modeling
Fernando A Morales, Sebastián Naranjo Álvarez
In this article an upscaled model is presented, for complex networks with highly clustered regions exchanging some abstract quantities in both, microscale and macroscale level. Suc…
On the Homogenization of Geological Fissured Systems With Curved non-periodic Cracks
Fernando A. Morales
We analyze the steady fluid flow in a porous medium containing a network of thin fissures i.e. width , where all the cracks are generated by the rigid translation o…
Notes on the nonlinear dependence of a multiscale coupled system with respect to the interface
Fernando A Morales
This work studies the dependence of the solution with respect to interface geometric perturbations in a multiscaled coupled Darcy flow system in direct variational formulation. A s…