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Mathematics - Applications | Phase Transitions and Hysteresis - Lectures given at the 3rd Session of the Centro Internazionale

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

Visintin, Augusto (Ed.)

1994, VIII, 296 p.

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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.

Content Level » Research

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

Related subjects » Analysis - Applications - Classical Continuum Physics - Computational Science & Engineering - Materials - Theoretical, Mathematical & Computational Physics

Table of contents 

Hysteresis operators.- Systems of nonlinear PDEs arising from dynamical phase transitions.- Quasiplasticity and pseudoelasticity in shape memory alloys.- Variational methods in the stefan problem.- Numerical aspects of parabolic free boundary and hysteresis problems.

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