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Zap. Nauchn. Sem. POMI, 2018, Volume 477, Pages 136–149 (Mi znsl6742)  

On type I blow up for the Navier–Stokes equations near the boundary

M. Chernobay

St. Petersburg State University, Mathematics and Mechanics Faculty, St. Petersburg, Russia

Abstract: For suitable weak solutions to the Navier–Stokes equations a new sufficient condition for the uniform boundeness of the scale invariant energy functionals near a boundary point is established.

Key words and phrases: Navier–Stokes equations, weak solutions, boundary regularity.

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Received: 27.09.2018
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Citation: M. Chernobay, “On type I blow up for the Navier–Stokes equations near the boundary”, Boundary-value problems of mathematical physics and related problems of function theory. Part 47, Zap. Nauchn. Sem. POMI, 477, POMI, St. Petersburg, 2018, 136–149

Citation in format AMSBIB
\Bibitem{Che18}
\by M.~Chernobay
\paper On type I blow up for the Navier--Stokes equations near the boundary
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~47
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 477
\pages 136--149
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6742}


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