Asymptotic analysis of fields in multi-structures

Author(s)

• Kozlov, Vladimir
• Mazʹi︠a︡, V. G.
• Movchan, A. B. (Alexander B.)

Bibliographic Information

Asymptotic analysis of fields in multi-structures

Vladimir Kozlov, Vladimir Mazʹya, Alexander Movchan

（Oxford mathematical monographs）

Oxford Science Publications , Clarendon Press, 1999

• : hbk

Note

Includes bibliographical references (p. [274]-280) and index

Description and Table of Contents

Description

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.

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

by "Nielsen BookData"

Details

• NCID: BA42927391
• ISBN:
  • 0198514956
• LCCN: 99033465
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Oxford [England],New York
• Pages/Volumes: xv, 282 p.
• Size: 25 cm
• Classification:
  • LCC : QA377
  • DC21 : 515/.353
• Subject Headings:
  • LCSH : Differential equations, Partial -- Asymptotic theory
• Parent Bibliography ID:
  • BA00007466