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

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

2011-10-28

arxiv.org/abs/1110.6301v2

Physics

Mathematical Physics

Scientific paper

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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