Averaging in perforated random domains of general type
type: Item
instance of: scholarly article
title: Averaging in perforated random domains of general type
zbMATH Open document ID: 0801.60058
DOI: 10.1007/BF01208520
published in: Mathematical Notes
publication date: 1994-07-12T00:00:00Z
review text: The author proves a general result on the averaging in perforated random domains. Using this result the author proves averaging of variational boundary value problems, and obtains a complete solution to a problem on the existence of the effective conductivity. Also the averaging and the central limit theorem for the diffusion equation in random perforated domain are proved.
Mathematics Subject Classification ID: 60H99
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 567849
zbMATH Keywords: averaging in perforated random domains
zbMATH Keywords: central limit theorem
zbMATH Keywords: diffusion
zbMATH Keywords: random perforated domain
author: V. V. Zhikov
reviewed by: Aleksandr D. Borisenko
MaRDI profile type: Publication
cites work: Homogenization in open sets with holes
cites work: Q3746966
cites work: Effective conductivity of homogeneous random sets
cites work: Q3337943
cites work: Q3768138
cites work: Q3814484
full work available at URL: https://doi.org/10.1007/bf01208520
OpenAlex ID: W1995237276
description: scientific article; zbMATH DE number 567849