Homogenization of the equation modeling the statics and the dynamics of an incompressible porous medium
type: Item
instance of: scholarly article
title: Homogenization of the equation modeling the statics and the dynamics of an incompressible porous medium
zbMATH Open document ID: 0921.35016
DOI: 10.1007/BF02355847
author: N. S. Bakhvalov
author: M. È. Èglit
published in: Journal of Mathematical Sciences (New York)
publication date: 1999-03-15T00:00:00Z
review text: The title problem is investigated under the Neumann data on the hole boundaries, and under the Dirichlet data on the external boundary. Using the Korn inequality, the authors obtain an asymptotic expansion for the solution together with error estimates in energy norm. Compared to traditional homogenization problems studied in the literature, here the original dynamic problem has infinite velocity of propagation of disturbances, whereas the homogenized problem has a finite one.
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 74E05
zbMATH DE Number: 1259434
zbMATH Keywords: Neumann data
zbMATH Keywords: Dirichlet data
zbMATH Keywords: Korn inequality
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: error estimates
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1259434