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OverviewThis book provides an introduction to the mathematical theory of homogenization, which describes the replacement of a real composite material by a fictitious homogeneous one. The aim of the theory is to describe the macroscopic properties of the composite by taking into account the properties of the microscopic structure. The first four chapters cover variational methods for partial differential equations, which is the natural framework of homogenization theory. The text then discusses the homogenization of several kinds of second order boundary value problems. Particular attention is given to the classical examples of the steady and non-steady heat equations, the wave equation and the linearized system of elasticity. All topics are illustrated by figures and numerous examples. Full Product DetailsAuthor: Doina Cioranescu (Directeur de Recherche, Centre National de la Recherche Scientifique, Directeur de Recherche, Centre National de la Recherche Scientifique, University of Paris VI) , Patrizia Donato (Professor, Department of Mathematics, Professor, Department of Mathematics, University of Rouen)Publisher: Oxford University Press Imprint: Oxford University Press Volume: 17 Dimensions: Width: 16.00cm , Height: 1.90cm , Length: 24.10cm Weight: 0.511kg ISBN: 9780198565543ISBN 10: 0198565542 Pages: 272 Publication Date: 11 November 1999 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of Contents1: Weak and weak - convergence in Banach spaces 2: Rapidly oscillating periodic functions 3: Some classes of Sobolev spaces 4: Some variational elliptic problems 5: Examples of periodic composite materials 6: Homogenization of elliptic equations: the convergence result 7: The multiple-scale method 8: Tartar's method of oscillating test functions 9: The two-scale convergence method 10: Homogenization in linearized elasticity 11: Homogenization of the heat equation 12: Homogenization of the wave equation 13: General Approaches to the non-periodic case ReferencesReviews'serve as good textbook for a post-graduate course' ZAMM Author InformationDoina Cioranescu (Professor, University of Paris VI and CNRS, France) Patrizia Donato (Professor, University of Rouen, France) Tab Content 6Author Website:Countries AvailableAll regions |
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