Asymptotic Analysis of Fields in Multi-structures

by Alexander Movchan , Vladimir Kozlov , Vladimir Maz'ya

Book Details

Format Hardback or Cased Book

Book Series Oxford Mathematical Monographs

ISBN-10 0198514956

ISBN-13 9780198514954

Publisher Oxford University Press

Imprint Oxford University Press

Country of Manufacture GB

Country of Publication GB

Publication Date Aug 12th, 1999

Print length 300 Pages

Weight 572 grams

Dimensions 24.10 x 16.10 x 2.10 cms

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Building on the work of Ciarlet and Destuynder, this book provides a systematic coverage of these methods in multi-structures, for example, domains which are dependent on a small parameter e in such a way that the limit region consists of subsets of different space dimensions.

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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