TY  - BOOK
AU  - Brokate,M.
AU  - Huo,Yong Zhong
AU  - Kenmochi,Noboyuki
AU  - Müller,Ingo
AU  - Rodriguez,José F.
AU  - Verdi,Claudio
AU  - Visintin,Augusto
ED  - SpringerLink (Online service)
TI  - 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 
T2  - Lecture Notes in Mathematics,
SN  - 9783540486787
AV  - QA299.6-433 
U1  - 515 23
PY  - 1994///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Global analysis (Mathematics)
KW  - Numerical analysis
KW  - Mathematical physics
KW  - Mechanics
KW  - Mechanics, applied
KW  - Analysis
KW  - Mathematical and Computational Physics
KW  - Numerical Analysis
KW  - Theoretical and Applied Mechanics
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0073393
ER  -