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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 489, Pages 81–95 (Mi znsl6925)  
This article is cited in 1 scientific paper (total in 1 paper)

On Type I blowups of suitable weak solutions to Navier–Stokes equations near boundary

G. Sereginab

a Oxford University, UK
b St. Petersburg Department of Steklov Mathematical Institute, RAS, Russia
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Abstract: In this note, boundary Type I blowups of suitable weak solutions to the Navier–Stokes equations are discussed. In particular, it has been shown that, under certain assumptions, the existence of non-trivial mild bounded ancient solutions in half space leads to the existence of suitable weak solutions with Type I blowup on the boundary.
Key words and phrases: Navier–Stokes equations, suitable weak solutions, ancient solutions, Type I blowups.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00397
This work is supported by the grant RFBR 20-01-00397.
Received: 29.10.2019
Document Type: Article
UDC: 517
Language: English
Citation: G. Seregin, “On Type I blowups of suitable weak solutions to Navier–Stokes equations near boundary”, Boundary-value problems of mathematical physics and related problems of function theory. Part 48, Zap. Nauchn. Sem. POMI, 489, POMI, St. Petersburg, 2020, 81–95
Citation in format AMSBIB
\Bibitem{Ser20}
\by G.~Seregin
\paper On Type~I blowups of suitable weak solutions to Navier--Stokes equations near boundary
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~48
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 489
\pages 81--95
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6925}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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