Geodesic
On regularity of stationary solutions to the Navier--Stokes equation in 3-D torus
Lobachevskii journal of mathematics, Tome 17 (2005), pp. 259-263.

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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. 
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O. È. Zubelevich. On regularity of stationary solutions to the Navier--Stokes equation in 3-D torus. Lobachevskii journal of mathematics, Tome 17 (2005), pp. 259-263. http://geodesic.mathdoc.fr/item/LJM_2005_17_a9/

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