Asymptotic Analysis of Fields in Multi-structures - Rilegato

Kozlov, Vladimir; Maz'ya, Vladimir; Movchan, Alexander

Rilegato

ISBN 10: 0198514956 ISBN 13: 9780198514954

Casa editrice: OUP Oxford, 1999

Riassunto

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.

Su questo libro

Contenuti

• 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

Dettagli dell?edizione

• Editore: OUP Oxford
• Data di pubblicazione: 1999
• Lingua: Inglese
• ISBN 10: 0198514956
• ISBN 13: 9780198514954
• Rilegatura: Copertina rigida
• Numero di pagine: 300
• Contatto del produttore: non disponibile
• Persona responsabile: Penguin Random House Ireland Limited; productsafety@penguin.co.uk; ; Morrison Chambers, 32 Nassau Street; Dublin; D02 YH68; Irlanda