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Mathematical problems in elasticity and homogenization

Author: O A Oleĭnik; A S Shamaev; G A Yosifian
Publisher: Amsterdam ; New York : North-Holland, 1992.
Series: Studies in mathematics and its applications, v. 26.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic materials. This study of processes in strongly non-homogeneous media brings forth a large number of purely mathematical problems which are very important for applications.  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Oleĭnik, O.A.
Mathematical problems in elasticity and homogenization.
Amsterdam ; New York : North-Holland, 1992
(DLC) 92015390
(OCoLC)25747044
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: O A Oleĭnik; A S Shamaev; G A Yosifian
ISBN: 9780444884411 0444884416 9780080875477 0080875475 1281782904 9781281782908
OCLC Number: 316566841
Description: 1 online resource (xiii, 398 pages) : illustrations.
Contents: Some mathematical problems of the theory of leasticity --
Homogenization of the system of linear elasticity : composites and perforated materials --
Spectral problems.
Series Title: Studies in mathematics and its applications, v. 26.
Responsibility: O.A. Oleĭnik and A.S. Shamaev, G.A. Yosifian.
More information:

Abstract:

This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic materials. This study of processes in strongly non-homogeneous media brings forth a large number of purely mathematical problems which are very important for applications. Although the methods suggested deal with stationary problems, some of them can be extended to non-stationary equations. With the exception of some well-known facts from functional analysis and the theory of partial differential equations, all results in this book are given detailed mathematical proof. It is expected that the results and methods presented in this book will promote further investigation of mathematical models for processes in composite and perforated media, heat-transfer, energy transfer by radiation, processes of diffusion and filtration in porous media, and that they will stimulate research in other problems of mathematical physics and the theory of partial differential equations.

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