Lower-dimensional nonlinear Brinkman's law for non-Newtonian flows in a thin porous medium
type: Item
instance of: scholarly article
title: Lower-dimensional nonlinear Brinkman's law for non-Newtonian flows in a thin porous medium
zbMATH Open document ID: 1475.76090
author: María Anguiano
author: F. J. Suárez-Grau
published in: Mediterranean Journal of Mathematics
publication date: 2021-08-30T00:00:00Z
review text: Relying on a combination of ideas involving dimension reduction techniques, monotonicity arguments, as well as an adaptation of the periodic unfolding method, the authors study a power-law Stokes model posed in a thin porous medium (with suitably scaled very thin microstructures). In the homogenization limit, they derive a lower-dimensional Brinkmann model for flow through such porous media.
reviewed by: Adrian Muntean
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M50
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35B27
zbMATH DE Number: 7388015
zbMATH Keywords: homogenization limit
zbMATH Keywords: power law fluid
zbMATH Keywords: dimension reduction method
zbMATH Keywords: monotonocity argument
zbMATH Keywords: periodic unfolding method
MaRDI profile type: Publication
full work available at URL: s00009-021-01814-5
OpenAlex ID: W3045084713
Wikidata QID: Q114852570
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DOI: 10.1007/S00009-021-01814-5
description: scientific article; zbMATH DE number 7388015