| Dewey Class |
519 |
| Title |
Phase Transitions and Hysteresis ([EBook]) : 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 Müller, José F. Rodriguez, Claudio Verdi ; edited by Augusto Visintin. |
| Author |
Brokate, Martin |
| Added Personal Name |
Huo, Yong Zhong |
| Kenmochi, Noboyuki |
| Müller, Ingo , 1936- |
| Rodriguez, Jose' F. |
| Visintin, Augusto |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Berlin, Heidelberg : Springer , 1994. |
| Physical Details |
VIII, 296 p. : online resource. |
| Series |
Lecture Notes in Mathematics 0075-8434 ; ; 1584 |
| ISBN |
9783540486787 |
| Summary Note |
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.: |
| Contents note |
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. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/BFb0073393 |
| Links to Related Works |
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