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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2009 Volume 43, Issue 4, Pages 14–25 (Mi faa2962)
This article is cited in 24 papers

On the Spectrum of the Stokes Operator

A. A. Ilyin

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences

Abstract: 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.

Keywords: Stokes operator, Navier–Stokes equations, attractor dimension, Lieb–Thirring inequalities.

UDC: 517.9

Received: 21.02.2008

DOI: 10.4213/faa2962


 English version: Functional Analysis and Its Applications, 2009, 43:4, 254–263

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