The existence theorem for steady Navier--Stokes equations in the axially symmetric case
Mathematical Physics
2012-04-12 v2 math.MP
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.
Keywords
Cite
@article{arxiv.1110.6301,
title = {The existence theorem for steady Navier--Stokes equations in the axially symmetric case},
author = {Mikhail Korobkov and Konstantin Pileckas and Remigio Russo},
journal= {arXiv preprint arXiv:1110.6301},
year = {2012}
}