1110.6301 (Mikhail Korobkov et al.)

The existence theorem for steady Navier--Stokes equations in the axially
symmetric case    [PDF]

Mikhail Korobkov, Konstantin Pileckas, Remigio Russo

We study the nonhomogeneous boundary value problem for Navier-Stokes equations of steady motion of a viscous incompressible fluid in a three-dimensional bounded multiply connected domain. We prove that this problem has a solution in some axially symmetric cases, in particular, when all components of the boundary intersect the axis of symmetry.

View original: http://arxiv.org/abs/1110.6301