On the compactness of the stable set for rate-independent processes

被引：7

作者：

Efendiev, MA ^{[1
]}

机构：

[1] Univ Stuttgart, Inst Math A, D-70569 Stuttgart, Germany

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2003年 / 2卷 / 04期

关键词：

rate-independent processes; stable set; proper mapping; quasilinear Fredholm map; subdifferential;

D O I：

10.3934/cpaa.2003.2.495

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a general approach to the rate-independent processes which may display hysteretic behaviour.This approach based on the two energy functionals, namely potential and dissipation functionals. Under some natural assumptions on these functionals we prove the compactness of the set of stable points which in turn leads to the existence of solutions of the problems under consideration.We present an application of our results to ferromagnetic models.

引用

页码：495 / 509

页数：15

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