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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     author = {O. \`E. Zubelevich},
     title = {On regularity of stationary solutions to the {Navier--Stokes} equation in {3-D} torus},
     journal = {Lobachevskii journal of mathematics},
     pages = {259--263},
     publisher = {mathdoc},
     volume = {17},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_2005_17_a9/}
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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/