Differential Models of Hysteresis
Publisher: Springer Berlin Heidelberg
Published: Dec 09, 2010
Format: paperback
Number of pages: 424
ISBN-13: 9783642081323
Description: 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.
Notes: Source title: Differential Models of Hysteresis (Applied Mathematical Sciences)