Étude d'un fluide traversant une paroi perforée. I: Comportement limite près de la paroi. (Study of a fluid crossing a perforated sieve. I: Limit behavior near the sieve)
type: Item
instance of: scholarly article
title: Étude d'un fluide traversant une paroi perforée. I: Comportement limite près de la paroi. (Study of a fluid crossing a perforated sieve. I: Limit behavior near the sieve)
zbMATH Open document ID: 0622.35061
author: Carlos Conca
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1987-01-01T00:00:00Z
review text: This is part one of a two part paper. The problem investigated is the mathematical one of studying the behaviour of a solution to the steady Stokes equations of hydrodynamics in a region which contains a separating surface with a periodic array of holes (a sieve). It is assumed that the velocity is zero on the sieve and given on the boundary of the region. The mathematical techniques employed are those from homogenization theory and the solution is studied in the limit that the sieve becomes finer. The results proved show that the solution is asymptotically divided into two regions: one in a boundary layer of the sieve, where a periodic structure is developed with high energy dissipation. The second region corresponds to an outer zone. The first part of the paper concentrates on the solution in the boundary layer near the sieve.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 4008970
zbMATH Keywords: steady Stokes equations
zbMATH Keywords: hydrodynamics
zbMATH Keywords: separating surface
zbMATH Keywords: periodic array of holes
zbMATH Keywords: homogenization theory
zbMATH Keywords: periodic structure
zbMATH Keywords: energy dissipation
reviewed by: Brian Straughan
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4008970