Differential Models of Hysteresis: 111 (Applied Mathematical Sciences) - Softcover

Visintin, Augusto

 
9783642081323: Differential Models of Hysteresis: 111 (Applied Mathematical Sciences)

Inhaltsangabe

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.

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Reseña del editor

Hysteresis effects occur in science and engineering: plasticity, ferromagnetism, ferroelectricity are well-known examples. This volume provides a self-contained and comprehensive introduction to the analysis of hysteresis models, and illustrates several new results in this field.

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9783540547938: Differential Models of Hysteresis: 111 (Applied Mathematical Sciences)

Vorgestellte Ausgabe

ISBN 10:  3540547932 ISBN 13:  9783540547938
Verlag: Springer, 1994
Hardcover