Publication

2013 - Springer London, Limited

Language

English

Word Count

106,000 words, Guess

Page Count

424 pages

Identifiers

  • ISBN-139783662115572
  • ISBN-103662115573
  • Better World Books9783662115572
  • Open LibraryOL35792923M

Classifications

  • LCCQA1-939

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.

Subjects

Other Editions

  • Differential Models of HysteresisSpringer London, Limited2013

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