UID:
almahu_9947921581102882
Umfang:
VIII, 296 p.
,
online resource.
ISBN:
9783540486787
Serie:
Lecture Notes in Mathematics, 1584
Inhalt:
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.
Anmerkung:
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.
In:
Springer eBooks
Weitere Ausg.:
Printed edition: ISBN 9783540583868
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Konferenzschrift
URL:
http://dx.doi.org/10.1007/BFb0073393
URL:
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URL:
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