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math.AP2024★ 1 cited
Self-Similar Solutions to the steady Navier-Stokes Equations in a two-dimensional sector
Jeaheang Bang, Changfeng Gui, Hao Liu +2
This paper is concerned with self-similar solutions of the steady Navier-Stokes system in a two-dimensional sector with the no-slip boundary condition. We give necessary and suffic…
math.AP2024
Liouville-type theorems for Axisymmetric solutions to steady Navier-Stokes system in a layer domain
Jingwen Han, Yun Wang, Chunjing Xie
In this paper, we investigate the Liouville-type theorems for axisymmetric solutions to steady Navier-Stokes system in a layer domain. The both cases for the flows supplemented wit…
math.AP2024
On a classification of steady solutions to two-dimensional Euler equations
Changfeng Gui, Chunjing Xie, Huan Xu
In this paper, we provide a classification of steady solutions to two-dimensional incompressible Euler equations in terms of the set of flow angles. The first main result asserts t…