An Introduction to Homogenization

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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)

An Introduction to Homogenization

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)

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English

Oxford University Press
01 March 2010

Differential calculus & equations; Integral calculus & equations; Calculus of variations; Maths for scientists; Analytical mechanics; Maths for engineers

Series: Oxford Lecture Series in Mathematics and Its Applications

This 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.

By: 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)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Volume: 17
Dimensions: Height: 241mm, Width: 160mm, Spine: 19mm
Weight: 1g
ISBN: 9780198565543
ISBN 10: 0198565542
Series: Oxford Lecture Series in Mathematics and Its Applications
Pages: 272
Publication Date: 01 March 2010
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Doina Cioranescu (Professor, University of Paris VI and CNRS, France) Patrizia Donato (Professor, University of Rouen, France)