Asymptotic Analysis of Fields in Multi-structures

Asymptotic Analysis of Fields in Multi-structures by Vladimir Kozlov, published by Oxford University Press in 1999, is a comprehensive exploration of the asymptotic analysis of boundary value problems within parameter-dependent domains. This edition spans 282 pages and is presented in English. The book delves into the rapidly evolving field of partial differential equations, emphasizing its significant applications in areas such as electrostatics, elasticity, hydrodynamics, and fracture mechanics.
Readers will find a systematic examination of methods applicable to multi-structures, which are characterized by domains influenced by a small parameter. The text builds upon the foundational work of Ciarlet and Destuynder, offering insights into the complexities of varying space dimensions in limit regions. An understanding of partial differential equations and functional analysis is assumed, making this book suitable for those with a background in mathematics and related sciences.
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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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