4 papers
uniqueness and asymptotic behavior of the stationary Navier-Stokes equations in a slab
Han Li, Jingwen Han
In this paper, we investigate the uniqueness and asymptotic behavior of the stationary Navier-Stokes equations in a slab domain with no-slip boundary conditions. Specifically, unde…
Liouville-type theorems for the stationary non-Newtonian fluids in a slab
Jingwen Han, Han Li
In this paper, we investigate Liouville-type theorems for stationary solutions to the shear thickening fluid equations in a slab. We show that the axisymmetric solution must be tri…
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 theorem for steady helically symmetric MHD system in
Jingwen Han
We show that any bounded smooth helically symmetric solution $(\Bu, \Bh)$ in must be constant vectors. This is an extension of previous result \cite[Theorem 1.1]{HWX…