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  • © 1987

Metastability and Incompletely Posed Problems

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

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xii
  2. Dissipative Mechanisms

    • Stuart S. Antman, Reza Malek-Madani
    Pages 1-16
  3. Metastable Harmonic Maps

    • Haim Brezis
    Pages 33-42
  4. The Compressible Reynolds Lubrication Equation

    • Michel Chipot, Mitchell Luskin
    Pages 61-75
  5. Twinning of Crystals (I)

    • J. L. Ericksen
    Pages 77-93
  6. The Stability and Metastability of Quartz

    • R. D. James
    Pages 147-175
  7. Continuation Theorems for Schrodinger Operators

    • Carlos E. Kenig
    Pages 177-184
  8. Twinning of Crystals (II)

    • David Kinderlehrer
    Pages 185-211
  9. Simulation of Pseudo-Elastic Behaviour in a System of Rubber Balloons

    • Wolfgang Kitsche, Ingo Müller, Peter Strehlow
    Pages 213-239
  10. Asymptotic Problems in Distributed Systems

    • J.-L. Lions
    Pages 241-258
  11. Stability of Nonlinear Waves

    • Tai-Ping Liu
    Pages 259-267
  12. Nonlocal Problems in Electromagnetism

    • Robert C. Rogers
    Pages 311-323

About this book

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.

Editors and Affiliations

  • Department of Mathematics, University of Maryland, College Park, USA

    Stuart S. Antman

  • School of Mathematics and Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, USA

    J. L. Ericksen

  • School of Mathematics, University of Minnesota, Minneapolis, USA

    David Kinderlehrer

  • FB9-Hermann Föttinger Institut, Technical University, Berlin, Germany

    Ingo Müller

Bibliographic Information

  • Book Title: Metastability and Incompletely Posed Problems

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

  • Series Title: The IMA Volumes in Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-1-4613-8704-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1987

  • Hardcover ISBN: 978-0-387-96462-1Due: 10 December 1986

  • Softcover ISBN: 978-1-4613-8706-0Published: 10 November 2011

  • eBook ISBN: 978-1-4613-8704-6Published: 06 December 2012

  • Series ISSN: 0940-6573

  • Series E-ISSN: 2198-3224

  • Edition Number: 1

  • Number of Pages: XII, 378

  • Topics: Theoretical, Mathematical and Computational Physics

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access