Attractors for semilinear equations of viscoelasticity with very low disspation

dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume1139
dc.contributor.authorGatti, Stefania
dc.contributor.authorMiranville, Alain
dc.contributor.authorPata, Vittorino
dc.contributor.authorZelik, Sergey
dc.date.accessioned2016-03-24T17:37:21Z
dc.date.available2019-06-28T08:16:00Z
dc.date.issued2006
dc.description.abstractWe analyze a differential system arising in the theory of isothermal viscoelasticity. This system is equivalent to an integrodifferential equation of hyperbolic type with a cubic nonlinearity, where the dissipation mechanism is contained only in the convolution integral, accounting for the past history of the displacement. In particular, we consider here a convolution kernel which entails an extremely weak dissipation. In spite of that, we show that the related dynamical system possesses a global attractor of optimal regularity.eng
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn0946-8633
dc.identifier.urihttps://doi.org/10.34657/2047
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/3053
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.subjectHyperbolic equation with memoryeng
dc.subjectdynamical systemeng
dc.subjectLyapunov functioneng
dc.subjectgradient systemeng
dc.subjectglobal attractoreng
dc.subject.ddc510eng
dc.titleAttractors for semilinear equations of viscoelasticity with very low disspationeng
dc.typereporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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