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Differential Models of Hysteresis (Hardcover, 1994 ed.)
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Differential Models of Hysteresis (Hardcover, 1994 ed.)
Series: Applied Mathematical Sciences, 111
Expected to ship within 12 - 17 working days
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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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