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.
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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
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Asymptotic Analysis of Fields in Multi-Structures (Oxford Mathematical Monographs)
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Asymptotic Analysis of Fields in Multi-Structures (Oxford Mathematical Monographs)
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Asymptotic Analysis of Fields in Multi-structures (Hardcover)
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Hardcover. Condition: new. 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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780198514954
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Asymptotic Analysis of Fields in Multi-Structures
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