4 citations · 7 across the 3 of their papers we have counts for
7 papers
Validity of Prandtl layer theory for steady magnetohydrodynamics over a moving plate with nonshear outer ideal MHD flows
Shijin Ding, Zhijun Ji, Zhilin Lin
In this paper, we validate the boundary layer theory for 2D steady viscous incompressible magnetohydrodynamics (MHD) equations in a domain u…
Enhanced dissipation and transition threshold for the 2-D plane Poiseuille flow via resolvent estimate
Shijin Ding, Zhilin Lin
In this paper, we study the transition threshold problem for the 2-D Navier-Stokes equations around the Poiseuille flow in a finite channel with Navier-slip boundary co…
Rayleigh-Taylor instability for nonhomogeneous incompressible fluids with Navier-slip boundary conditions
Shijin Ding, Zhijun Ji, Quanrong Li
This paper is concerned with the Rayleigh-Taylor instability for the nonhomogeneous incompressible Navier-Stokes equations with Navier-slip boundary conditions around a steady-stat…
Verification of Prandtl boundary layer ansatz for the steady electrically conducting fluids with a moving physical boundary
Shijin Ding, Zhilin Lin, Feng Xie
In this paper, we are concerned with the validity of Prandtl boundary layer expansion for the solutions to two dimensional (2D) steady viscous incompressible magnetohydrodynamics (…
Global well-posedness of the Navier-Stokes equations with Navier-slip boundary conditions in a strip domain
Quanrong Li, Shijin Ding
This paper is concerned with the existence and uniqueness of the strong solution to the incompressible Navier-Stokes equations with Navier-slip boundary conditions in a two-dimensi…
Inviscid Limit for the Free-Boundary problems of MHD Equations with or without Surface Tension
Pengfei Chen, Shijin Ding
In this paper, we investigate the convergence rates of inviscid limits for the free-boundary problems of the incompressible magnetohydrodynamics (MHD) with or without surface tensi…