On the compactness of the stable set for rate independent processes

Autor:	M. A. Efendiev
Rok vydání:	2003
Předmět:	Set (abstract data type) Compact space Applied Mathematics Independent set Applied mathematics General Medicine Subderivative Rate independent Dissipation Analysis Energy (signal processing) Mathematics
Zdroj:	Communications on Pure & Applied Analysis. 2:495-509
ISSN:	1553-5258
DOI:	10.3934/cpaa.2003.2.495
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b74757b1155e1b67583dd9906cbb9166 https://doi.org/10.3934/cpaa.2003.2.495 Zobrazit plný text záznamu