Three-dimensional stationary incompressible inhomogeneous Navier-Stokes equation in the axially symmetric case
Abstract
We show the existence of (a class of) weak solutions to the three-dimensional stationary incompressible inhomogeneous Navier--Stokes equations with density-dependent viscosity coefficient in the axially symmetric case. Further symmetric solutions in cylindrical coordinates, spherical coordinates and Cartesian coordinates are also discussed.
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