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
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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)
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Hysteresis operators
Pages 1-38
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Systems of nonlinear PDEs arising from dynamical phase transitions
Pages 39-86
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Quasiplasticity and pseudoelasticity in shape memory alloys
Pages 87-146
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Variational methods in the stefan problem
Pages 147-212
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Numerical aspects of parabolic free boundary and hysteresis problems
Pages 213-284
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Table of contents (5 chapters)
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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
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- 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
