Étude d'un fluide traversant une paroi perforée. II: Comportement limite loin de la paroi. (Study of a fluid crossing a perforated sieve. II: Limit behavior far off the sieve)
type: Item
instance of: scholarly article
title: Étude d'un fluide traversant une paroi perforée. II: Comportement limite loin de la paroi. (Study of a fluid crossing a perforated sieve. II: Limit behavior far off the sieve)
zbMATH Open document ID: 0622.35062
author: Carlos Conca
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1987-01-01T00:00:00Z
review text: [For Part I see the preceding review.] This paper is a continuation of part I. The two parts of the paper study the mathematically interesting problem of the behaviour of a solution to the steady Stokes equations in a region which contains a periodic sieve. The precise goal of the paper under review is to determine the solution and its structure away from the sieve. It is shown that as the sieve becomes finer the velocity field and pressure converge to the solution of a Stokes problem with boundary conditions corresponding to the limit of the velocity field in the boundary layer and determined by the fluid flow on the boundary of the domain.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 4008971
zbMATH Keywords: homogenization
zbMATH Keywords: steady Stokes equations
zbMATH Keywords: periodic sieve
zbMATH Keywords: velocity field
zbMATH Keywords: pressure
zbMATH Keywords: boundary layer
zbMATH Keywords: fluid flow
reviewed by: Brian Straughan
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4008971