Phase Transitions and Hysteresis

Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, July 13–21, 1993

  • Authors
  • M. Brokate
  • Yong Zhong Huo
  • Noboyuki Kenmochi
  • Ingo Müller
  • José F. Rodriguez
  • Claudio Verdi
  • Editors
  • Augusto Visintin

Part of the Lecture Notes in Mathematics book series (LNM, volume 1584)

Table of contents

  1. Front Matter
    Pages I-VII
  2. Martin Brokate
    Pages 1-38
  3. Y. Huo, I. Müller, S. Seelecke
    Pages 87-146
  4. José-Francisco Rodrigues
    Pages 147-212
  5. Back Matter
    Pages 286-295

About this book

Introduction

1) Phase Transitions, represented by generalizations of the classical Stefan problem. This is studied by Kenmochi and Rodrigues by means of variational techniques.
2) Hysteresis Phenomena. Some alloys exhibit shape memory effects, corresponding to a stress-strain relation which strongly depends on temperature; mathematical physical aspects are treated in Müller's paper. In a general framework, hysteresis can be described by means of hysteresis operators in Banach spaces of time dependent functions; their properties are studied by Brokate.
3) Numerical analysis. Several models of the phenomena above can be formulated in terms of nonlinear parabolic equations. Here Verdi deals with the most updated approximation techniques.

Keywords

Numerical approximations Phase Transition Phase Transitions free boundary problems hysteresis memory effects numerical analysis pahse transitions

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0073393
  • Copyright Information Springer-Verlag Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-58386-8
  • Online ISBN 978-3-540-48678-7
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book