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arXiv · 0704.2090

Cocycles and Mañe sequences with an application to ideal fluids

R. Shvydkoy
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Abstract

Exponential 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.

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R. Shvydkoy. 2007-04-17. Cocycles and Mañe sequences with an application to ideal fluids. https://arxiv.org/abs/0704.2090

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