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Differential Models of Hysteresis
Augusto Visintin
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Description for Differential Models of Hysteresis
Hardback. Hysteresis effects occur in plasticity, ferromagnetism and ferroelectricity. This monograph provides a self-contained introduction to the analysis of hysteresis models. Following an analysis of several classical models by the likes of Prandtl and Preisach, a new model is examined. Series: Applied Mathematical Sciences. Num Pages: 424 pages, biography. BIC Classification: PBKJ; PDE; PHK. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 23. Weight in Grams: 1710.
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.
Product Details
Format
Hardback
Publication date
1994
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
424
Condition
New
Series
Applied Mathematical Sciences
Number of Pages
412
Place of Publication
Berlin, Germany
ISBN
9783540547938
SKU
V9783540547938
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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