An Introduction to Homogenization (Oxford Lecture Series in Mathematics and Its Applications (17))

Cioranescu, Doina, Donato, Patrizia

ISBN 10: 0198565542 / ISBN 13: 9780198565543

Published by Oxford University Press, 2000

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Bibliographic Details

• Title: An Introduction to Homogenization (Oxford Lecture Series in Mathematics and Its Applications (17))
• Publisher: Oxford University Press
• Publication Date: 2000
• Language: English
• ISBN 10: 0198565542
• ISBN 13: 9780198565543
• Binding: Hardcover
• Condition: Like New
• Book Type: book

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Synopsis

Composite materials are widely used in industry and include such well known examples as superconductors and optical fibers. However, modeling these materials is difficult, since they often has different properties at different points. The mathematical theory of homogenization is designed to handle this problem. The theory uses an idealized homogenous material to model a real composite while taking into account the microscopic structure. This introduction to homogenization theory develops the natural framework of the theory with four chapters on variational methods for partial differential equations. It then discusses the homogenization of several kinds of second-order boundary value problems. It devotes separate chapters to the classical examples of stead and non-steady heat equations, the wave equation, and the linearized system of elasticity. It includes numerous illustrations and examples.

About the Author

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