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Phase Transitions and Hysteresis: Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini ... 21, 1993 (Lecture Notes in Mathematics, 1584)
ISBN-13:
9783540583868
ISBN-10:
3540583866
Edition:
1994
Author:
Augusto Visintin
Publication date:
1994
Publisher:
Springer
Format:
Paperback
304 pages
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Book details
ISBN-13:
9783540583868
ISBN-10:
3540583866
Edition:
1994
Author:
Augusto Visintin
Publication date:
1994
Publisher:
Springer
Format:
Paperback
304 pages
Summary
Phase Transitions and Hysteresis: Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini ... 21, 1993 (Lecture Notes in Mathematics, 1584) (ISBN-13: 9783540583868 and ISBN-10: 3540583866), written by authors
Augusto Visintin, was published by Springer in 1994.
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Description
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.
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