Time-periodic boundary layer solutions to singularly perturbed parabolic problems

dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume2300
dc.contributor.authorOmelchenko, Oleh
dc.contributor.authorRecke, Lutz
dc.contributor.authorButuzov, Valentin
dc.contributor.authorNefedov, Nikolay
dc.date.accessioned2016-12-14T22:46:58Z
dc.date.available2019-06-28T08:10:37Z
dc.date.issued2016
dc.description.abstractIn this paper, we present a result of implicit function theorem type, which was designed for applications to singularly perturbed problems. This result is based on fixed point iterations for contractive mappings, in particular, no monotonicity or sign preservation properties are needed. Then we apply our abstract result to time-periodic boundary layer solutions (which are allowed to be non-monotone with respect to the space variable) in semilinear parabolic problems with two independent singular perturbation parameters. We prove existence and local uniqueness of those solutions, and estimate their distance to certain approximate solutions.eng
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn2198-5855
dc.identifier.urihttps://doi.org/10.34657/3415
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/2751
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastikeng
dc.relation.issn0946-8633eng
dc.rights.licenseThis 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.licenseDieses 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.subjectMonotone and non-monotone boundary layerseng
dc.subjecttwo independent singular perturbation parameterseng
dc.subjectperiodic-parabolic boundary value problemeng
dc.subjectimplicit function theoremeng
dc.subject.ddc510eng
dc.titleTime-periodic boundary layer solutions to singularly perturbed parabolic problemseng
dc.typereporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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