Some remarks on the homogenization of the dam problem
type: Item
instance of: scholarly article
title: Some remarks on the homogenization of the dam problem
zbMATH Open document ID: 0543.35042
DOI: 10.1007/BF01185195
author: José Francisco Rodrigues
published in: Manuscripta Mathematica
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/154991
review text: The behaviour of the solution for the inhomogeneous dam problem with respect to the variation of the G-convergence is discussed. The limit problem is characterized, using the technique of correctors. A counter- example, furnished by Alt, is presented, which shows that there exists the possibility of the non convergence of the unsaturated regions. Then the present formulation of the dam problem is not closed for G- convergence. But special cases exist where the homogenization can be carried out, like the case of horizontal layers.
Mathematics Subject Classification ID: 35J85
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 76B10
Mathematics Subject Classification ID: 49J45
zbMATH DE Number: 3863703
zbMATH Keywords: homogenization
zbMATH Keywords: inhomogeneous dam problem
zbMATH Keywords: G-convergence
zbMATH Keywords: non convergence
reviewed by: Marco Codegone
MaRDI profile type: Publication
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OpenAlex ID: W1981678593
description: scientific article; zbMATH DE number 3863703