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Table of contents (16 chapters)
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Front Matter
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Introduction
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Reader’s Guide
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Historical Notes
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Partial Differential Equations with Hysteresis
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Appendix
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Back Matter
About this book
This volume provides a self-contained and comprehensive introduction to the analysis of hysteresis models, and illustrates several new results in this field. First the classical models of Prandtl, Ishlinskii, Preisach and Duhem are formulated and studied, using the concept of "hysteresis operator". A new model of discontinuous hysteresis is introduced. Several partial differential equations containing hysteresis operators are studied in the framework of Sobolev spaces.
Authors and Affiliations
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Dipartimento di Matematica, Universitá di Trento, Povo (Trento), Italy
Augusto Visintin
Bibliographic Information
Book Title: Differential Models of Hysteresis
Authors: Augusto Visintin
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-662-11557-2
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1994
Hardcover ISBN: 978-3-540-54793-8Published: 28 December 1994
Softcover ISBN: 978-3-642-08132-3Published: 01 December 2010
eBook ISBN: 978-3-662-11557-2Published: 29 June 2013
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: XII, 412
Topics: Applications of Mathematics, Operator Theory, Partial Differential Equations