On the spectrum of the Stokes operator

We prove Li--Yau-type lower bounds for the eigenvalues of the Stokes operator and give applications to the attractors of the Navier--Stokes equations.

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Bibliographic Details
Published inarXiv.org
Main Author Ilyin, Alexei A
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 29.02.2008
Subjects
Eigenvalues
Lower bounds
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Summary:We prove Li--Yau-type lower bounds for the eigenvalues of the Stokes operator and give applications to the attractors of the Navier--Stokes equations.
ISSN:2331-8422