书目名称 | Differential Models of Hysteresis |
编辑 | Augusto Visintin |
视频video | |
丛书名称 | Applied Mathematical Sciences |
图书封面 |  |
描述 | 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. |
出版日期 | Book 1994 |
关键词 | Hysteresis; Mathematical Modelling; Memory; Nonlinear Partial Differential Equations; Plasticity; Sobolev |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-662-11557-2 |
isbn_softcover | 978-3-642-08132-3 |
isbn_ebook | 978-3-662-11557-2Series ISSN 0066-5452 Series E-ISSN 2196-968X |
issn_series | 0066-5452 |
copyright | Springer-Verlag Berlin Heidelberg 1994 |