论文标题

在轴向对称的情况下

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

论文作者

He, Zihui

论文摘要

我们展示了(一类)弱解的存在,用于三维固定不可压缩的不均匀纳维尔 - 在轴向对称的情况下具有密度依赖性粘度系数的Stokes方程。还讨论了圆柱坐标,球形坐标和笛卡尔坐标的进一步对称溶液。

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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