Differential models of hysteresis
Differential models of hysteresis
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DOI：
10.1007/978-3-662-11557-2
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
A. Visintin
中科院分区：
文献类型：
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作者：
A. Visintin
滞后效应发生在科学和工程中：塑性、铁磁性、铁电性是众所周知的例子。滞后现象的建模和数学分析只是最近才被数学家们提出来，但现在已经得到了充分的发展。这卷提供了一个独立的和全面的介绍滞后模型的分析，并说明了在这一领域的几个新的成果。首先，利用“滞后算子”的概念，对Prandtl、Ishlinskii、Preisach和Duhem的经典模型进行了研究。介绍了一种新的非连续迟滞模型。在Sobolev空间的框架下研究了几类含滞后算子的偏微分方程.
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.