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JOURNALS // Lobachevskii Journal of Mathematics // Archive
Lobachevskii J. Math., 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

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

Language: English



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