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Homogenization and Effective Moduli of Materials and Media

  • J. L. Ericksen
  • David Kinderlehrer
  • Robert Kohn
  • J.-L. Lions

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 1)

Table of contents

  1. Front Matter
    Pages i-x
  2. Martin P. Bendsøe
    Pages 1-26
  3. James G. Berryman
    Pages 52-77
  4. M. M. Carroll
    Pages 78-96
  5. Robert V. Kohn, Graeme W. Milton
    Pages 97-125
  6. R. Caflisch, M. Miksis, G. Papanicolaou, L. Ting
    Pages 175-181
  7. A. C. Pipkin
    Pages 182-195
  8. Luc Tartar
    Pages 228-246
  9. Back Matter
    Pages 265-268

About these proceedings

Introduction

This IMA Volume in Mathematics and its Applications Homogenization and Effective Moduli of Materials and Media represents the proceedings of a workshop which was an integral part of the 19R4-R5 IMA program on CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EQUATIONS. We are grateful to the Scientific Committee: J . L. Ericksen D. Kinderlehrer H. Brezis C. Dafermos for their dedication and hard work in rleveloping an imaginative, stimulating, and productive year-long program. George R. Sell Hans Weinherger PREFACE The papers in this volume were presented at a workshop on homogenization of differential equations and the determination of effective moduli of materials and media, primarily in the context of continuum theory. These areas are closely linked to a variety of phenomena, such as the elastic and dielectric responses of composites, and the effective properties of shales and soils. For instance, the ability to predict the effective stiffness response of a composite across a broad range of frequencies allows its performance under given circumstances to be assessed by means of nondestructive testing. A fundamental mathematical tool is homogenization, the study of partial differential equations with rapidly varying coefficients or boundary conditions. The recent alliance of homogenization with optimal design has stimulated the development of both fields. The presentations at the workshop emphasized recent advances and open questions.

Keywords

differential equation homogenization integral partial differential equation

Editors and affiliations

  • J. L. Ericksen
    • 1
  • David Kinderlehrer
    • 2
  • Robert Kohn
    • 3
  • J.-L. Lions
    • 4
    • 5
  1. 1.School of Mathematics and Department of Aerospace Engineering and MechanicsUniversity of MinnesotaMinneapolisUSA
  2. 2.School of MathematicsUniversity of MinnesotaMinneapolisUSA
  3. 3.Courant InstituteNew York UniversityNew YorkUSA
  4. 4.Centre National d’Etudes SpatialesCollege de FranceParis 5France
  5. 5.Institute for Mathematics and Its ApplicationsUniversity of MinnesotaMinneapolisUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-8646-9
  • Copyright Information Springer-Verlag New York 1986
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-8648-3
  • Online ISBN 978-1-4613-8646-9
  • Series Print ISSN 0940-6573
  • Buy this book on publisher's site
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