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Algebra i Analiz, 2013, Volume 25, Issue 5, Pages 146–172 (Mi aa1356)  
This article is cited in 11 scientific papers (total in 11 papers)

Research Papers

Rescalings at possible singularities of Navier–Stokes equations in half-space

G. Sereginab, V. Šverákc

a St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka, 27, 191023, St. Petersburg, Russia
b Oxford University, UK
c University of Minnesota, USA
Full-text PDF (334 kB) Citations (11)
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Abstract: The relationship is clarified between possible blow-up for strong solutions of the initial boundary value problem for the incompressible Navier–Stokes equations in $\{x_3>0\}$, and the Liouville theorem for mild bounded ancient solutions.
Keywords: incompressible Navier–Stokes equations, blow-up, mild bounded ancient solution.
Received: 07.01.2013
English version:
St. Petersburg Mathematical Journal, 2014, Volume 25, Issue 5, Pages 815–833
DOI: https://doi.org/10.1090/S1061-0022-2014-01317-9
Bibliographic databases:
Document Type: Article
Language: English
Citation: G. Seregin, V. Šverák, “Rescalings at possible singularities of Navier–Stokes equations in half-space”, Algebra i Analiz, 25:5 (2013), 146–172; St. Petersburg Math. J., 25:5 (2014), 815–833
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:356
    Full-text PDF :94
    References:90
    First page:29
     
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