Cocycles and Mañe sequences with an application to ideal fluids - Mathematics Dynamical SystemsReport as inadecuate




Cocycles and Mañe sequences with an application to ideal fluids - Mathematics Dynamical Systems - Download this document for free, or read online. Document in PDF available to download.

Abstract: Exponential dichotomy of a strongly continuous cocycle $\bFi$ is proved to beequivalent to existence of a Ma\~{n}e sequence either for $\bFi$ or for itsadjoint. As a consequence we extend some of the classical results to generalBanach bundles. The dynamical spectrum of a product of two cocycles, one ofwhich is scalar, is investigated and applied to describe the essential spectrumof the Euler equation in an arbitrary spacial dimension.



Author: R. Shvydkoy

Source: https://arxiv.org/







Related documents