Asymptotic Analysis of Fields in Multi-structures

Vladimir Maz'ya, Alexander Movchan, Vladimir Kozlov

ISBN 10: 0198514956 / ISBN 13: 9780198514954

Published by Oxford University Press, GB, 1999

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. Seller Inventory # LU-9780198514954

Synopsis:

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.

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

Bibliographic Details

Title: Asymptotic Analysis of Fields in ...
Publisher: Oxford University Press, GB
Publication Date: 1999
Binding: Hardback
Condition: New
Edition: Illustrated.