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An Introduction to Homogenization

An Introduction to Homogenization

Hardcover

Series: Oxford Lecture Mathematics and Its Applications, Book 17

CalculusGeneral Mathematics

ISBN10: 0198565542
ISBN13: 9780198565543
Publisher: Oxford University Press
Published: Feb 24 2000
Pages: 272
Weight: 1.23
Height: 0.63 Width: 6.14 Depth: 9.21
Language: English
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.

Also from

Cioranescu, Doina

Also in

General Mathematics