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Asymptotic Analysis of Fields in Multi-Structures

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ISBN-10: 0198514956

ISBN-13: 9780198514954

Edition: 1999

Authors: Vladimir Kozlov, Vladimir G. Maz'ya, Alexander Movchan

List price: $240.00
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The asymptotic analysis of boundary value problems in parameter-dependent domains is a rapidly developing field of research in the theory of partial differential equations, with important applications in electrostatics, elasticity, hydrodynamics and fracture mechanics. Building on the work of Ciarlet and Destuynder, this book provides a systematic coverage of these methods in multi-structures, i.e. domains which are dependent on a small parameter e in such a way that the limit region consists of subsets of different space dimensions. An undergraduate knowledge of partial differential equations and functional analysis is assumed.
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Book details

List price: $240.00
Copyright year: 1999
Publisher: Oxford University Press, Incorporated
Publication date: 10/28/1999
Binding: Hardcover
Pages: 298
Size: 6.50" wide x 9.50" long x 0.75" tall
Weight: 1.188
Language: English

Introduction to compound asymptotic expansions
A boundary value problem for the Laplacian in a multi-structure
Auxiliary facts from mathematical elasticity
Elastic multi-structure
Non-degenerate elastic multi-structure
Spectral analysis for 3D-1D multi-structures
Bibliographical remarks
Bibliography
Index