Stability results for a soil model with singular hysteretic hydrology
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1341 | |
dc.contributor.author | Krejčí, Pavel | |
dc.contributor.author | O'Kane, J. Philip | |
dc.contributor.author | Pokrovskii, Alexei | |
dc.contributor.author | Rachinskii, Dmitrii | |
dc.date.accessioned | 2016-03-24T17:38:22Z | |
dc.date.available | 2019-06-28T08:03:14Z | |
dc.date.issued | 2008 | |
dc.description.abstract | 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 asymptotic stability of periodic solutions. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/3251 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2001 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Preisach operator | eng |
dc.subject.other | singular differential equation | eng |
dc.subject.other | periodic solution | eng |
dc.title | Stability results for a soil model with singular hysteretic hydrology | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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