Cocycles and Mañe sequences with an application to ideal fluids

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dc.creatorShvydkoy, R.
dc.date2007-04-17
dc.date.accessioned2026-07-07T07:56:50Z
dc.date.available2026-07-07T07:56:50Z
dc.descriptionExponential dichotomy of a strongly continuous cocycle $\bFi$ is proved to be equivalent to existence of a Mañe sequence either for $\bFi$ or for its adjoint. As a consequence we extend some of the classical results to general Banach bundles. The dynamical spectrum of a product of two cocycles, one of which is scalar, is investigated and applied to describe the essential spectrum of the Euler equation in an arbitrary spacial dimension.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0704.2090
dc.identifierhttp://arxiv.org/abs/0704.2090
dc.identifierJournal of Differential Equations, 229/1 (2006), 49--62
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127457
dc.subjectDynamical Systems
dc.subjectAnalysis of PDEs
dc.titleCocycles and Mañe sequences with an application to ideal fluids
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