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 / Edition 1

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 / Edition 1

by Augusto Visintin
     
 

ISBN-10: 3540583866

ISBN-13: 9783540583868

Pub. Date: 11/29/1994

Publisher: Springer Berlin Heidelberg

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

Overview

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.

Product Details

ISBN-13:
9783540583868
Publisher:
Springer Berlin Heidelberg
Publication date:
11/29/1994
Series:
Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries, #1584
Edition description:
1994
Pages:
296
Product dimensions:
6.10(w) x 9.25(h) x 0.24(d)

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