Author	Brokate, M. author
Title	Phase Transitions and Hysteresis [electronic resource] : 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 / by M. Brokate, Yong Zhong Huo, Noboyuki Kenmochi, Ingo Mรผller, Josรฉ F. Rodriguez, Claudio Verdi ; edited by Augusto Visintin
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 1994
Connect to	http://dx.doi.org/10.1007/BFb0073393
Descript	VIII, 296 p. online resource

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 Mรผller'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

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

1. Mathematics
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3. Analysis (Mathematics)
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12. Condensed Matter Physics
13. Numerical Analysis
14. Analysis
15. Theoretical
16. Mathematical and Computational Physics
17. Mechanics