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

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: Properties of solutions to a class of differential models incorporating Preisach hysteresis operator Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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, we study the initial value problem: existence, uniqueness, extendability of solutions, their dependence on initial data, and their geometrical structure. 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, we study the initial value problem: existence, uniqueness, extendability of solutions, their dependence on initial data, and their geometrical structure. (en)
Title	Properties of solutions to a class of differential models incorporating Preisach hysteresis operator Properties of solutions to a class of differential models incorporating Preisach hysteresis operator (en)
skos:prefLabel	Properties of solutions to a class of differential models incorporating Preisach hysteresis operator Properties of solutions to a class of differential models incorporating Preisach hysteresis operator (en)
skos:notation	RIV/67985840:_____/12:00382360!RIV13-AV0-67985840
http://linked.open...avai/predkladatel	Matematický ústav AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP201/10/2315)
http://linked.open...iv/cisloPeriodika	22
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Krejčí, Pavel
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	162909
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/12:00382360
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Preisach operator; differential equation; periodic solution (en)
http://linked.open.../riv/klicoveSlovo	Preisach operator differential equation periodic solution
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[07BD9838D061]
http://linked.open...i/riv/nazevZdroje	Physica. D
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Matematické modelování procesů v hysterézních materiálech
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	241
http://linked.open...iv/tvurceVysledku	Krejčí, Pavel O'Kane, J. P. Pokrovskii, A. Rachinskii, D.
http://linked.open...ain/vavai/riv/wos	000312511500018
issn	0167-2789
number of pages	19 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.physd.2011.05.005
is http://linked.open...avai/riv/vysledek of	Properties of solutions to a class of differential models incorporating Preisach hysteresis operator

Faceted Search & Find service v1.16.118 as of Jun 21 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 58 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software