Stability results for a soil model with singular hysteretic hydrology

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F10%3A00360292" target="_blank" >RIV/67985840:_____/10:00360292 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/1742-6596/268/1/012016" target="_blank" >http://dx.doi.org/10.1088/1742-6596/268/1/012016</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1742-6596/268/1/012016" target="_blank" >10.1088/1742-6596/268/1/012016</a>

Result language
angličtina
Original language name
Stability results for a soil model with singular hysteretic hydrology
Original language description
We consider a differential equation describing the mass balance in a soil hydrology model with noninvertible Preisach-type hysteresis. We approximate the singular Preisach operator by regular ones and show, as main result, that the solutions of the regularized problem converge to a solution of the original one as the regularization parameter tends to zero. For monotone right hand sides, we prove that the solution is unique. If in addition the external water sources are time periodic, then we find sufficient conditions for the existence, uniqueness, and global asymptotic stability of periodic solutions.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F10%2F2315" target="_blank" >GAP201/10/2315: Mathematical modeling of Processes in Hysteretic Materials</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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