Properties of solutions to a class of differential models incorporating Preisach hysteresis operator

Kód výsledku v IS VaVaI

RIV/67985840:_____/12:00382360 - isvavai.cz

Výsledek na webu

http://dx.doi.org/10.1016/j.physd.2011.05.005

DOI - Digital Object Identifier

10.1016/j.physd.2011.05.005

Jazyk výsledku

angličtina

Název v původním jazyce

Properties of solutions to a class of differential models incorporating Preisach hysteresis operator

Popis výsledku v původním jazyce

We consider a class of equations which have been recently proposed as a mathematical tool for modelling dynamics of hydrological, economic and biological systems exhibiting hysteresis and related memory effects. The detail of the modelling approach is illustrated by an example from the hydrological context where a balance equation is coupled with a hysteretic constitutive relationship between the water content in the soil and the matric potential of the soil matrix, and where the Preisach hysteresis operator is used as a model of this constitutive relationship. In particular, we present assumptions which eliminate spatial variation and lead to balance equations in the form of ODEs with hysteresis operators. For such operator-differential equations, westudy the initial value problem: existence, uniqueness, extendability of solutions, their dependence on initial data, and their geometrical structure.

Název v anglickém jazyce

Properties of solutions to a class of differential models incorporating Preisach hysteresis operator

Popis výsledku anglicky

We consider a class of equations which have been recently proposed as a mathematical tool for modelling dynamics of hydrological, economic and biological systems exhibiting hysteresis and related memory effects. The detail of the modelling approach is illustrated by an example from the hydrological context where a balance equation is coupled with a hysteretic constitutive relationship between the water content in the soil and the matric potential of the soil matrix, and where the Preisach hysteresis operator is used as a model of this constitutive relationship. In particular, we present assumptions which eliminate spatial variation and lead to balance equations in the form of ODEs with hysteresis operators. For such operator-differential equations, westudy the initial value problem: existence, uniqueness, extendability of solutions, their dependence on initial data, and their geometrical structure.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

GAP201/10/2315: Matematické modelování procesů v hysterézních materiálech

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physica. D

ISSN

0167-2789

e-ISSN

—

Svazek periodika

241

Číslo periodika v rámci svazku

22

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

19

Strana od-do

2010-2028

Kód UT WoS článku

000312511500018

EID výsledku v databázi Scopus

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