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

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


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About the Book

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.

Table of Contents:
1: 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 References

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

Review :
'serve as good textbook for a post-graduate course' ZAMM


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Product Details
  • ISBN-13: 9780198565543
  • Publisher: Oxford University Press
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Spine Width: 19 mm
  • Width: 160 mm
  • ISBN-10: 0198565542
  • Publisher Date: 11 Nov 1999
  • Height: 241 mm
  • No of Pages: 272
  • Series Title: 17 Oxford Lecture Series in Mathematics and Its Applications
  • Weight: 511 gr


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