Overview
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1584)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (5 chapters)
Keywords
About this book
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.
Bibliographic Information
Book Title: Phase Transitions and Hysteresis
Book Subtitle: 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
Authors: M. Brokate, Yong Zhong Huo, Noboyuki Kenmochi, Ingo Müller, José F. Rodriguez, Claudio Verdi
Editors: Augusto Visintin
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0073393
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1994
Softcover ISBN: 978-3-540-58386-8Published: 27 October 1994
eBook ISBN: 978-3-540-48678-7Published: 15 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 296
Topics: Applications of Mathematics, Condensed Matter Physics, Numerical Analysis, Analysis, Theoretical, Mathematical and Computational Physics, Classical Mechanics