Attractors for semilinear equations of viscoelasticity with very low disspation
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 1139 | |
| dc.contributor.author | Gatti, Stefania | |
| dc.contributor.author | Miranville, Alain | |
| dc.contributor.author | Pata, Vittorino | |
| dc.contributor.author | Zelik, Sergey | |
| dc.date.accessioned | 2016-03-24T17:37:21Z | |
| dc.date.available | 2019-06-28T08:16:00Z | |
| dc.date.issued | 2006 | |
| dc.description.abstract | We 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.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 0946-8633 | |
| dc.identifier.uri | https://doi.org/10.34657/2047 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3053 | |
| 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 | Hyperbolic equation with memory | eng |
| dc.subject.other | dynamical system | eng |
| dc.subject.other | Lyapunov function | eng |
| dc.subject.other | gradient system | eng |
| dc.subject.other | global attractor | eng |
| dc.title | Attractors for semilinear equations of viscoelasticity with very low disspation | 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 |