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)

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)

$365

Hardback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

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: 511g
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

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

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