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Cover: 9783642081323 | Differential Models of Hysteresis | Augusto Visintin | Taschenbuch
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Differential Models of Hysteresis
Taschenbuch von Augusto Visintin
Sprache: Englisch

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Beschreibung
Hysteresis effects occur in science and engineering: plasticity, ferromagnetism, ferroelectricity are well-known examples. Modelling and mathematical analysis of hysteresis phenomena have been addressed by mathematicians only recently, but are now in full development.
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.
Hysteresis effects occur in science and engineering: plasticity, ferromagnetism, ferroelectricity are well-known examples. Modelling and mathematical analysis of hysteresis phenomena have been addressed by mathematicians only recently, but are now in full development.
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.
Inhaltsverzeichnis
Reader¿s Guide.- Historical Notes.- I. Genesis of Hysteresis.- II. Rheological and Circuital Models.- III. Plays, Stops and Prandtl-Ishlinski? Models.- IV. The Preisach Model.- V. The Duhem Model.- VI. Discontinuous Hysteresis.- VII. P.D.E. Models of Elasto-Plasticity.- VIII. Hysteresis and Semigroups.- IX. Quasilinear P.D.E.s with Memory.- X. Semilinear P.D.E.s with Memory.- XI. P.D.E.s with Discontinuous Hysteresis.- XII. Some Tools.- Conclusion.
Details
Erscheinungsjahr: 2010
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Applied Mathematical Sciences
Inhalt: xii
412 S.
46 s/w Illustr.
ISBN-13: 9783642081323
ISBN-10: 3642081320
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Visintin, Augusto
Auflage: Softcover reprint of hardcover 1st ed. 1994
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Applied Mathematical Sciences
Maße: 235 x 155 x 24 mm
Von/Mit: Augusto Visintin
Erscheinungsdatum: 01.12.2010
Gewicht: 0,645 kg
Artikel-ID: 107167301
Inhaltsverzeichnis
Reader¿s Guide.- Historical Notes.- I. Genesis of Hysteresis.- II. Rheological and Circuital Models.- III. Plays, Stops and Prandtl-Ishlinski? Models.- IV. The Preisach Model.- V. The Duhem Model.- VI. Discontinuous Hysteresis.- VII. P.D.E. Models of Elasto-Plasticity.- VIII. Hysteresis and Semigroups.- IX. Quasilinear P.D.E.s with Memory.- X. Semilinear P.D.E.s with Memory.- XI. P.D.E.s with Discontinuous Hysteresis.- XII. Some Tools.- Conclusion.
Details
Erscheinungsjahr: 2010
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Applied Mathematical Sciences
Inhalt: xii
412 S.
46 s/w Illustr.
ISBN-13: 9783642081323
ISBN-10: 3642081320
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Visintin, Augusto
Auflage: Softcover reprint of hardcover 1st ed. 1994
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Applied Mathematical Sciences
Maße: 235 x 155 x 24 mm
Von/Mit: Augusto Visintin
Erscheinungsdatum: 01.12.2010
Gewicht: 0,645 kg
Artikel-ID: 107167301
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