C.I.M.E. Foundation Subseries

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

Editors: Visintin, Augusto (Ed.)

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About this book

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.

Table of contents (5 chapters)

  • Hysteresis operators

    Brokate, Martin

    Pages 1-38

  • Systems of nonlinear PDEs arising from dynamical phase transitions

    Kenmochi, Nobuyuki

    Pages 39-86

  • Quasiplasticity and pseudoelasticity in shape memory alloys

    Huo, Y. (et al.)

    Pages 87-146

  • Variational methods in the stefan problem

    Rodrigues, José-Francisco

    Pages 147-212

  • Numerical aspects of parabolic free boundary and hysteresis problems

    Verti, Claudio

    Pages 213-284

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-540-48678-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.95
price for USA
  • ISBN 978-3-540-58386-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Phase Transitions and Hysteresis
Book Subtitle
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
Editors
  • Augusto Visintin
Series Title
C.I.M.E. Foundation Subseries
Series Volume
1584
Copyright
1994
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-48678-7
DOI
10.1007/BFb0073393
Softcover ISBN
978-3-540-58386-8
Edition Number
1
Number of Pages
VIII, 296
Topics