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Lobachevskii Journal of Mathematics, 2005, Volume 17, Pages 259–263 (Mi ljm80)  
On regularity of stationary solutions to the Navier–Stokes equation in 3-D torus

O. È. Zubelevich

Moscow Aviation Institute
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Abstract: We consider the Navier–Stokes equation in 3-D torus in the stationary setup and prove that any weak solution of this problem is actually smooth provided the stationary external force is also smooth.
Keywords: Navier–Stokes equation, nonlinear elliptic equations.
Submitted by: F. G. Avkhadiev
Received: 11.11.2004
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Language: English
Citation: O. È. Zubelevich, “On regularity of stationary solutions to the Navier–Stokes equation in 3-D torus”, Lobachevskii J. Math., 17 (2005), 259–263
Citation in format AMSBIB
\Bibitem{Zub05}
\by O.~\`E.~Zubelevich
\paper On regularity of stationary solutions to the Navier--Stokes equation in 3-D torus
\jour Lobachevskii J. Math.
\yr 2005
\vol 17
\pages 259--263
\mathnet{http://mi.mathnet.ru/ljm80}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2137304}
\zmath{https://zbmath.org/?q=an:1080.35079}
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