Fundamental Contributions to the Continuum Theory of Evolving Phase Interfaces in Solids

A Collection of Reprints of 14 Seminal Papers

  • John M. Ball
  • David Kinderlehrer
  • Paulo Podio-Guidugli
  • Marshall Slemrod

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Introduction

  3. Papers on Materials Science

  4. Papers on Continuum Mechanics

  5. Papers on Mathematics

  6. Back Matter
    Pages 473-474

About this book


This book addresses the physics of phase transitions in chemical compositions and crystal or molecular structures. It deals with the control of the scale and distribution of microstructural features that are associated with different phases. Here a mathematical framework is presented with the capacity to describe and predict the evolution of phase interfaces. Some of the relevant developments are summarized, with emphasis being placed on the contributions made by those researchers whose works are printed in this volume.


continuum mechanics mechanics morphological stability phase transition scaling solids stability stress thermodynamics thermomechanics

Editors and affiliations

  • John M. Ball
    • 1
  • David Kinderlehrer
    • 2
  • Paulo Podio-Guidugli
    • 3
  • Marshall Slemrod
    • 4
  1. 1.Mathematical InstituteOxfordUK
  2. 2.Department of MathematicsCarnegie-Mellon UniversityPittsburghUSA
  3. 3.Dipartimento di Ingegneria CivileUniversitá di Roma “Tor Vergata”Italy
  4. 4.Center for Mathematical SciencesUniversity of WisconsinMadisonUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-64188-6
  • Online ISBN 978-3-642-59938-5
  • Buy this book on publisher's site