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

2022/12/29 by He, Zihui
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2212.14423

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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