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arXiv · 1110.6301

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

Mikhail Korobkov·Konstantin Pileckas·Remigio Russo
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Abstract

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.

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Mikhail Korobkov, Konstantin Pileckas, Remigio Russo. 2012-04-11. The existence theorem for steady Navier--Stokes equations in the axially symmetric case. https://arxiv.org/abs/1110.6301

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