Homogenization of Partial Differential Equations (Hardcover, 2006 ed.)

Homogenization is a method for modelling processes in complex structures. These processes are far too complex for analytic and numerical methods and are best described by PDEs with rapidly oscillating coefficients - a technique that has become increasingly important in the last three decades due to its multiple applications in the areas of optimization, radiophysics, filtration theory, rheology, elasticity theory, and other domains of mechanics, physics, and technology. The present monograph is a comprehensive study of homogenization problems, describing various physical processes in micro-inhomogeneous media. A variety of techniques are used - specifically functional analysis, the spectral theory for differential operators, the Laplace transform, and, most importantly, a new variational PDE method for studying the asymptotic behavior of solutions of stationary boundary value problems. Along with complete proofs of all main results, numerous examples of typical structures of micro-inhomogeneous media with their corresponding homogenized models are provided. Graduate students, applied mathematicians, physicists, engineers, and specialists in mechanics will benefit from this monograp

General

Imprint:	Birkhauser Boston
Country of origin:	United States
Series:	Progress in Mathematical Physics, 46
Release date:	November 2005
First published:	2006
Authors:	Vladimir A. Marchenko • Evgueni YA Khruslov
Dimensions:	235 x 155 x 23mm (L x W x T)
Format:	Hardcover
Pages:	402
Edition:	2006 ed.
ISBN-13:	978-0-8176-4351-5
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Promotions
LSN:	0-8176-4351-6
Barcode:	9780817643515

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