3 citations · 5 across the 8 of their papers we have counts for
8 papers
Asymptotic long-time behavior of Darcy--Boussinesq convection in layered porous media with narrow transition zones
Kaijian Sha, Xiaoming Wang, Hao Wu
We study the asymptotic long-time behavior of Darcy--Boussinesq convection in layered porous media with narrow transition zones in the material properties. As the transition-layer…
Vanishing permeability limit of convection in multilayer porous media
Kaijian Sha, Xiaoming Wang
We analyze the asymptotic behavior of the Boussinesq-Darcy system describing convection in layered porous media in the limit where the permeability of one layer tends to zero. We s…
Vanishing layer thickness limit of convection in multilayer porous media
Kaijian Sha, Xiaoming Wang
Within the Darcy-Boussinesq framework for convection in multilayered porous media, we investigate the singular limit in which the thickness of one layer tends to zero. We establish…
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…
Uniqueness and uniform structural stability of Poiseuille flows with large fluxes in two-dimensional strips
Kaijian Sha, Yun Wang, Chunjing Xie
In this paper, we prove the uniform nonlinear structural stability of Poiseuille flows with suitably large flux for the steady Navier-Stokes system in a two-dimensional strip with…
On the Steady Navier-Stokes system with Navier slip boundary conditions in two-dimensional channels
Kaijian Sha, Yun Wang, Chunjing Xie
In this paper, we investigate the incompressible steady Navier-Stokes system with Navier slip boundary condition in a two-dimensional channel. As long as the width of cross-section…
On the Leray problem for steady flows in two-dimensional infinitely long channels with slip boundary conditions
Kaijian Sha, Yun Wang, Chunjing Xie
In this paper, we investigate the Leray problem for steady Navier-Stokes system under full slip boundary conditions in a two dimensional channel with straight outlets. The existenc…
Uniform structural stability and uniqueness of Poiseuille flows in a two dimensional periodic strip
Kaijian Sha, Yun Wang, Chunjing Xie
In this paper, we prove the uniform nonlinear structural stability of Poiseuille flows with arbitrarily large flux for the Navier-Stokes system in a two dimensional periodic strip…