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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 de Augusto Visintin

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: Lecture Notes in Mathematics, cartea 1584

Editat de Augusto Visintin Contribuţii de M. Brokate, N. Kenmochi, I. Müller, J.F. Rodriguez, C. Verdi
en Limba Engleză Paperback – 27 oct 1994
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.
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Specificații

ISBN-13: 9783540583868
ISBN-10: 3540583866
Pagini: 304
Ilustrații: VIII, 296 p.
Dimensiuni: 155 x 235 x 16 mm
Greutate: 0.43 kg
Ediția:1994
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seriile Lecture Notes in Mathematics, C.I.M.E. Foundation Subseries

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.