7 citations · 20 across the 8 of their papers we have counts for
4 papers · 1 filter
Stability of the boundary layer expansion for the 3D plane parallel MHD flow
Shijin Ding, Zhilin Lin, Dongjuan Niu
In this paper, we establish the mathematical validity of the Prandtl boundary layer theory for a class of nonlinear plane parallel flows of viscous incompressible magnetohydrodynam…
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…
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 (…