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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 / edited by Augusto Visintin
(C.I.M.E. Foundation Subseries. ISSN:29461820 ; 1584)

1st ed. 1994.
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 1994
本文言語 英語
大きさ VIII, 296 p : online resource
冊子体 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 / M. Brokate ... [et al.] ; editor, A. Visintin ; : gw,: us
著者標目 Visintin, Augusto editor
SpringerLink (Online service)
件 名 LCSH:Mathematics
LCSH:Condensed matter
LCSH:Numerical analysis
LCSH:Mathematical analysis
LCSH:Mathematical physics
LCSH:Mechanics
FREE:Applications of Mathematics
FREE:Condensed Matter Physics
FREE:Numerical Analysis
FREE:Analysis
FREE:Theoretical, Mathematical and Computational Physics
FREE:Classical Mechanics
一般注記 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) 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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分 類 LCC:T57-57.97
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書誌ID 4000109547
ISBN 9783540486787

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