Asymptotic Analysis of Fields in Multi-structures

Hardcover | August 15, 1999

byVladimir Kozlov, Vladimir Mazya, Alexander Movchan

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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 ofCiarlet 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 differentialequations and functional analysis is assumed.

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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 ofCiarlet and Destuynder, this book provides a...

Vladimir Kozlov is at Linkoeping University. Vladimir Maz'ya is at Linkoeping University.

other books by Vladimir Kozlov

Format:HardcoverPublished:August 15, 1999Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198514956

ISBN - 13:9780198514954

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Table of Contents

1. Introduction to compound asymptotic expansions2. A boundary value problem for the Laplacian in a multi-structure3. Auxiliary facts from mathematical elasticity4. Elastic multi-structure5. Non-degenerate elastic multi-structure6. Spectral analysis for 3D-1D multi-structuresBibliographical remarksBibliographyIndex