Differential Models of Hysteresis (Applied Mathematical Sciences)

Differential Models of Hysteresis (Applied Mathematical Sciences)

Editorial Reviews
Book 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.

Differential Models of Hysteresis (Applied Mathematical Sciences),Augusto Visintin,Springer,0387547932,Boundary Value Problems,Differential Equations,Differential Equations - Partial Differential Equations,Differential equations, Parabo,Differential equations, Parabolic,Geometry - Differential,Hysteresis,Mathematics,Phase transformations (Statist,Phase transformations (Statistical physics),Science/Mathematics

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