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math.AP2026
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…
math.AP2026
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…
math.AP2024
On the asymptotic behavior of solutions to the steady Navier-Stokes system in two-dimensional channels
Han Li, Kaijian Sha
In this paper, we investigate the incompressible steady Navier-Stokes system with no-slip boundary condition in a two-dimensional channel. Given any flux, the existence of solution…