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

Book 10 of 94: Applied Mathematical Sciences

Visintin, Augusto

 
9783540547938: Differential Models of Hysteresis: 111 (Applied Mathematical Sciences, 111)
Hardcover
ISBN 10: 3540547932 ISBN 13: 9783540547938
Publisher: Springer, 1994

Synopsis

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.

"synopsis" may belong to another edition of this title.

Publisher
Springer
Publication date
1994
Language
English
ISBN 10 
3540547932
ISBN 13 
9783540547938
Binding
Hardcover
Number of pages
424