An Introduction to Homogenization

Erscheinungsjahr 1999
ISBN: 978-0-19-856554-3
Verlag: OUP Oxford

Buch, Englisch, Band 17, 272 Seiten, laminated boards, Format (B × H): 161 mm x 240 mm, Gewicht: 578 g

Reihe: 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.

Autoren/Hrsg.

Cioranescu, Diona

Cioranescu, Doina

Cioranescu, D.

Donato, Patrizia

Fachgebiete

• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Technische Wissenschaften Bauingenieurwesen Mathematische Methoden, Computeranwendungen (Bauingenieurwesen)

Über Autor(innen)

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