Asymptotic Analysis of Fields in Multi-structures (Hardcover)

Vladimir Kozlov

ISBN 10: 0198514956 / ISBN 13: 9780198514954

Published by Oxford University Press, Oxford, 1999

About this Item

Hardcover. 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 sucha way that the limit region consists of subsets of different space dimensions. An undergraduate knowledge of partial differential equations and functional analysis is assumed. This book outlines a method in analysis which has already been instrumental in solving complicated partial differential equations arising in various areas of engineering, notably electrostatics, elasticity, hydrodynamics and fracture mechanics. It is suitable for graduate students working with partial differential equations. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9780198514954

Bibliographic Details

• Title: Asymptotic Analysis of Fields in Multi-structures (Hardcover)
• Publisher: Oxford University Press, Oxford
• Publication Date: 1999
• Language: English
• ISBN 10: 0198514956
• ISBN 13: 9780198514954
• Binding: Hardcover
• Condition: new

About this title

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