Asymptotic Analysis of Fields in Multi-Structures (Oxford Mathematical Monographs)

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

ISBN 10: 0198514956 / ISBN 13: 9780198514954

Editore: Oxford University Press, 1999

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From publisher s library. Library marking on the spine. Bookplate on inside cover and library stamp, otherwise book is new. Pages clean and crisp, spine unbroken. 0223D.

Codice articolo A0223-218

Dati bibliografici

• Titolo: Asymptotic Analysis of Fields in Multi-Structures (Oxford Mathematical Monographs)
• Editore: Oxford University Press
• Data di pubblicazione: 1999
• Lingua: Inglese
• ISBN 10: 0198514956
• ISBN 13: 9780198514954
• Rilegatura: Hardcover
• Edizione: 1st Edition
• Condizione: As New

Descrizione articolo

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.

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