4 papers
Vanishing viscosity limit of the stationary Navier-Stokes equations in an expanding annulus
Xinghong Pan, Chuankai Zhao, Jianfeng Zhao
In this paper, we establish vanishing viscosity limit of the 2D stationary Navier-Stokes equations in an expanding annulus with a fixed width. The flow is subjected to a large pert…
Prandtl--Batchelor and flux-expulsion selection for steady MHD flows in a disk
Chen Gao, Zhiwu Lin, Jianfeng Zhao
We study the simultaneous vanishing-viscosity and vanishing-resistivity limit of steady incompressible MHD flows in a disk. The boundary velocity is a small nonaxisymmetric perturb…
Prandtl-Batchelor flows with a point vortex on a disk
Zhi Chen, Mingwen Fei, Zhiwu Lin +1
We study steady two-dimensional incompressible Navier-Stokes flow in the unit disk in a high Reynolds number regime, driven by a localized central forcing and a nearly rigid rotati…
Vanishing viscosity limit of the Navier-Stokes equations in a horizontally periodic strip
Mingwen Fei, Xinghong Pan, Jianfeng Zhao
In this paper, we establish vanishing viscosity limit of the 2D Navier-Stokes equations in a horizontally periodic strip. On the vertical direction, the horizontal component of the…