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Funktsional'nyi Analiz i ego Prilozheniya, 2009, Volume 43, Issue 4, Pages 14–25
DOI: https://doi.org/10.4213/faa2962 (Mi faa2962) 		 
This article is cited in 22 scientific papers (total in 22 papers)

On the Spectrum of the Stokes Operator

A. A. Ilyin

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
Full-text PDF (210 kB) Citations (22)
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DOI: https://doi.org/10.4213/faa2962
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.
Received: 21.02.2008
English version:
Functional Analysis and Its Applications, 2009, Volume 43, Issue 4, Pages 254–263
DOI: https://doi.org/10.1007/s10688-009-0034-x
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. A. Ilyin, “On the Spectrum of the Stokes Operator”, Funktsional. Anal. i Prilozhen., 43:4 (2009), 14–25; Funct. Anal. Appl., 43:4 (2009), 254–263
Citation in format AMSBIB
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\jour Funct. Anal. Appl.
\yr 2009
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\pages 254--263
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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