Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774460 | Journal of Mathematical Analysis and Applications | 2017 | 26 Pages |
Abstract
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, the limiting problem is characterized as the width of the channel converges to zero. It is proven that the limit problem is a fully-coupled system of Darcy flow in the porous medium with Brinkman flow in tangential coordinates of the lower dimensional interface.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fernando A. Morales, Ralph E. Showalter,