Fundamental solutions for periodic media
type: Item
instance of: scholarly article
title: Fundamental solutions for periodic media
zbMATH Open document ID: 1310.74040
DOI: 10.1155/2014/473068
author: Sergey V. Kuznetsov
published in: Advances in Mathematical Physics
publication date: 2015-03-27T00:00:00Z
review text: Summary: Necessity for the periodic fundamental solutions arises when the periodic boundary value problems should be analyzed. The latter are naturally related to problems of finding the homogenized properties of the dispersed composites, porous media, and media with uniformly distributed microcracks or dislocations. Construction of the periodic fundamental solutions is done in terms of the convergent series in harmonic polynomials. An example of the periodic fundamental solution for the anisotropic porous medium is constructed, along with the simplified lower bound estimate.
Mathematics Subject Classification ID: 74Q05
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 74R99
zbMATH DE Number: 6420242
Wikidata QID: Q59045976
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/473068
OpenAlex ID: W2089470310
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description: scientific article; zbMATH DE number 6420242