Metastability and Incompletely Posed Problems

  • Stuart S. Antman
  • J. L. Ericksen
  • David Kinderlehrer
  • Ingo Müller

Part of the The IMA Volumes in Mathematics and Its Applications book series (IMA, volume 3)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Stuart S. Antman, Reza Malek-Madani
    Pages 1-16
  3. Haim Brezis
    Pages 33-42
  4. Michel Chipot, Mitchell Luskin
    Pages 61-75
  5. J. L. Ericksen
    Pages 77-93
  6. R. D. James
    Pages 147-175
  7. Carlos E. Kenig
    Pages 177-184
  8. David Kinderlehrer
    Pages 185-211
  9. Wolfgang Kitsche, Ingo Müller, Peter Strehlow
    Pages 213-239
  10. J.-L. Lions
    Pages 241-258
  11. Tai-Ping Liu
    Pages 259-267
  12. Robert C. Rogers
    Pages 311-323

About this book

Introduction

This IMA Volume in Mathematics and its Applications Metastability and Incompletely Posed Problems represents the proceedings of a workshop which was an integral part of the 19R4-R5 IMA program on CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EOIIATIONS. We are grateful to the Scientific Committee: ,I.L. Eri cksen D. Kinderlehrer H. Rrezis C. Dafermos for their dedication and hard work in developing an imaginative, stimulating, and productive year-long program. George R. Sell Hans Weinberger Preface Most equilibrium events in nature do not realize configurations of minimum energy. They are only metastable. Available knowledge of constitutive relations and environmental interactions may be limiterl. As a result, many configurations may he compatible with the rlata. Such questions are incompletely poserl. The papers in this volume address a wide variety of these issues as they are perceived by the material scientist and the mathematician. They represent a portion of the significant activity which has been underway in recent years, from the experimental arena and physical theory to the analysis of differential equations and computation.

Keywords

Potential bifurcation differential equation elasticity equation mathematics theorem

Editors and affiliations

  • Stuart S. Antman
    • 1
  • J. L. Ericksen
    • 2
  • David Kinderlehrer
    • 3
  • Ingo Müller
    • 4
  1. 1.Department of MathematicsUniversity of MarylandCollege ParkUSA
  2. 2.School of Mathematics and Department of Aerospace Engineering and MechanicsUniversity of MinnesotaMinneapolisUSA
  3. 3.School of MathematicsUniversity of MinnesotaMinneapolisUSA
  4. 4.FB9-Hermann Föttinger InstitutTechnical UniversityBerlinGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-8704-6
  • Copyright Information Springer-Verlag New York 1987
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-8706-0
  • Online ISBN 978-1-4613-8704-6
  • Series Print ISSN 0940-6573
  • About this book