2 citations · 4 across the 7 of their papers we have counts for
7 papers
Rigidity of Stationary Navier-Stokes Solutions with Transverse bound in Dimensions Five and Higher
Changfeng Gui, Hao Liu, Yun Wang +1
For , let be a smooth solution of the stationary incompressible Navier-Stokes equations in , where is the -axis. We prove tha…
Self-similar stationary Navier--Stokes flows in a half-space with arbitrarily large swirl forcing
Yun Wang, Chunjing Xie, Shaoheng Zhang
We study axisymmetric self-similar solutions of the stationary Navier--Stokes equations with -homogeneous forces and no-slip boundary conditions in a half-space. For a fixed…
On the existence of self-similar solutions to the steady Navier-Stokes equations in high dimensions
Jeaheang Bang, Changfeng Gui, Hao Liu +2
We prove that the steady incompressible Navier-Stokes equations with any given -homogeneous, locally Lipschitz external force on , $4\leq n\leq 16…
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…
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…
Liouville-type theorems for steady Navier-Stokes system under helical symmetry or Navier boundary conditions
Jingwen Han, Yun Wang, Chunjing Xie
In this paper, the Liouville-type theorems for the steady Navier-Stokes system are investigated. First, we prove that any bounded smooth helically symmetric solution in $\mathbb{R}…
Liouville-type theorems for steady solutions to the Navier-Stokes system in a slab
Jeaheang Bang, Changfeng Gui, Yun Wang +1
Liouville-type theorems for the steady incompressible Navier-Stokes system are investigated for solutions in a three-dimensional slab with either no-slip boundary conditions or per…