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Metastability and Incompletely Posed Problems

  • Book
  • © 1987

Overview

Editors:
  1. Stuart S. Antman

    1. Department of Mathematics, University of Maryland, College Park, USA

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  2. J. L. Ericksen

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

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  3. David Kinderlehrer

    1. School of Mathematics, University of Minnesota, Minneapolis, USA

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  4. Ingo Müller

    1. FB9-Hermann Föttinger Institut, Technical University, Berlin, Germany

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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
    Download chapter PDF

  2. Dissipative Mechanisms

    • Stuart S. Antman, Reza Malek-Madani
    Pages 1-16

  3. Does Rank-One Convexity Imply Quasiconvexity?

    • J. M. Ball
    Pages 17-32

  4. Metastable Harmonic Maps

    • Haim Brezis
    Pages 33-42

  5. Bifurcation Problems in Constrained Nonlinear Thermoelasticity

    • M. C. Calderer
    Pages 43-60

  6. The Compressible Reynolds Lubrication Equation

    • Michel Chipot, Mitchell Luskin
    Pages 61-75

  7. Twinning of Crystals (I)

    • J. L. Ericksen
    Pages 77-93

  8. Quasiconvexity and Partial Regularity in the Calculus of Variations

    • Lawrence C. Evans
    Pages 95-102

  9. Introduction to Pattern Selection in Dendritic Solidification

    • Nigel Goldenfeld
    Pages 103-133

  10. Some Results and Conjectures in the Gradient Theory of Phase Transitions

    • Morton E. Gurtin
    Pages 135-146

  11. The Stability and Metastability of Quartz

    • R. D. James
    Pages 147-175

  12. Continuation Theorems for Schrodinger Operators

    • Carlos E. Kenig
    Pages 177-184

  13. Twinning of Crystals (II)

    • David Kinderlehrer
    Pages 185-211

  14. Simulation of Pseudo-Elastic Behaviour in a System of Rubber Balloons

    • Wolfgang Kitsche, Ingo Müller, Peter Strehlow
    Pages 213-239

  15. Asymptotic Problems in Distributed Systems

    • J.-L. Lions
    Pages 241-258

  16. Stability of Nonlinear Waves

    • Tai-Ping Liu
    Pages 259-267

  17. The Nash-Moser Technique for an Inverse Problem in Potential Theory Related to Geodesy

    • C. Maderna, C. Pagani, S. Salsa
    Pages 269-276

  18. Variational Stability and Relaxed Dirichlet Problems

    • Umberto Mosco
    Pages 277-293

  19. A Contribution to the Description of Natural States for Elastic Crystalline Solids

    • Mario Pitteri
    Pages 295-309

  20. Nonlocal Problems in Electromagnetism

    • Robert C. Rogers
    Pages 311-323
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Keywords

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

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