Some uniform elliptic estimates in a porous medium
type: Item
instance of: scholarly article
title: Some uniform elliptic estimates in a porous medium
zbMATH Open document ID: 1116.35315
author: Nader Masmoudi
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2005-02-23T00:00:00Z
review text: The author presents several uniform estimates for some elliptic problems written in a porous medium. The term uniform refers to the size of the cells which is also equal to the size \(\varepsilon\) of the holes. The author defines a porous medium as the periodic repetition of an elementary cell \(\varepsilon\) in a bounded smooth domain \(\omega\). The author studies the Dirichlet problem, the projection operator onto divergence-free vector fields as well as the Stokes operator. The author also presents estimates for the problem \(\text{div}\,v= f\).
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 2137984
zbMATH Keywords: uniform elliptic estimates
zbMATH Keywords: porous medium
MaRDI profile type: Publication
full work available at URL: j.crma.2004.10.007
OpenAlex ID: W2088369370
cites work: Compactness methods in the theory of homogenization
cites work: Lp bounds on singular integrals in homogenization
cites work: Q4197852
cites work: Q4292463
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cites work: Q5334555
cites work: Non-homogeneous media and vibration theory
DOI: 10.1016/J.CRMA.2004.10.007
description: scientific article; zbMATH DE number 2137984