Asymptotic Analysis of Fields in Multi-structures
Author:   Vladimir Kozlov (Department of Mathematics, Department of Mathematics, Linkoeping University, Sweden) ,  Vladimir Maz'ya (Department of Mathematics, Department of Mathematics, Linkoeping University, Sweden) ,  Alexander Movchan (Department of Mathematical Sciences, Department of Mathematical Sciences, University of Liverpool) ,  Alexander Movchan (Department of Mathematical Sciences, University of Bath)
Publisher:   Oxford University Press
ISBN:  

9780198514954


Pages:   300
Publication Date:   12 August 1999
Format:   Hardback
Availability:   To order   Availability explained
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Asymptotic Analysis of Fields in Multi-structures


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Overview

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.

Full Product Details

Author:   Vladimir Kozlov (Department of Mathematics, Department of Mathematics, Linkoeping University, Sweden) ,  Vladimir Maz'ya (Department of Mathematics, Department of Mathematics, Linkoeping University, Sweden) ,  Alexander Movchan (Department of Mathematical Sciences, Department of Mathematical Sciences, University of Liverpool) ,  Alexander Movchan (Department of Mathematical Sciences, University of Bath)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 16.10cm , Height: 2.10cm , Length: 24.10cm
Weight:   0.572kg
ISBN:  

9780198514954


ISBN 10:   0198514956
Pages:   300
Publication Date:   12 August 1999
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

1: Introduction to compound asymptotic expansions 2: A boundary value problem for the Laplacian in a multi-structure 3: Auxiliary facts from mathematical elasticity 4: Elastic multi-structure 5: Non-degenerate elastic multi-structure 6: Spectral analysis for 3D-1D multi-structures Bibliographical remarks Bibliography Index

Reviews

This book deals with mixed boundary value problems for the Laplace operator or the Lame system in multi-structures. . . The approach is based upon the method of compound asymptotic expansions . . . The whole asymptotic procedure is rigorously justified. -- Mathematical Reviews<br>


<br> This book deals with mixed boundary value problems for the Laplace operator or the Lam? system in multi-structures. . . The approach is based upon the method of compound asymptotic expansions . . . The whole asymptotic procedure is rigorously justified. -- Mathematical Reviews<p><br>


"""This book deals with mixed boundary value problems for the Laplace operator or the Lam� system in multi-structures. . . The approach is based upon the method of compound asymptotic expansions . . . The whole asymptotic procedure is rigorously justified."" -- Mathematical Reviews"


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