Properties of solutions to a class of differential models incorporating Preisach hysteresis operator
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00382360" target="_blank" >RIV/67985840:_____/12:00382360 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.physd.2011.05.005" target="_blank" >http://dx.doi.org/10.1016/j.physd.2011.05.005</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physd.2011.05.005" target="_blank" >10.1016/j.physd.2011.05.005</a>
Alternative languages
Result language
angličtina
Original language name
Properties of solutions to a class of differential models incorporating Preisach hysteresis operator
Original language 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, westudy the initial value problem: existence, uniqueness, extendability of solutions, their dependence on initial data, and their geometrical structure.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP201%2F10%2F2315" target="_blank" >GAP201/10/2315: Mathematical modeling of Processes in Hysteretic Materials</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physica. D
ISSN
0167-2789
e-ISSN
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Volume of the periodical
241
Issue of the periodical within the volume
22
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
19
Pages from-to
2010-2028
UT code for WoS article
000312511500018
EID of the result in the Scopus database
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