Three-dimensional stationary incompressible inhomogeneous Navier-Stokes equation in the axially symmetric case

Zihui He

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arXiv · 2212.14423

Three-dimensional stationary incompressible inhomogeneous Navier-Stokes equation in the axially symmetric case

Zihui He

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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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Zihui He. 2022-12-29. Three-dimensional stationary incompressible inhomogeneous Navier-Stokes equation in the axially symmetric case. https://arxiv.org/abs/2212.14423

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