34 citations · 101 across the 18 of their papers we have counts for
18 papers
Global well-posedness of 2D incompressible MHD equations without magnetic diffusion
Shijin Ding, Ronghua Pan, Yi Zhu
In recent years, the global existence of classical solutions to the Cauchy problem for 2D incompressible viscous MHD equations without magnetic diffusion has been proved in \cite{R…
Global-in- stability of Prandtl layer expansions for steady magnetohydrodynamics flows over a moving plate
Shijin Ding, Zhijun Ji, Zhilin Lin
In this paper, we obtain the global-in- Sobolev stability of Prandtl layer expansions for 2-D steady incompressible MHD flows with shear outer ideal MHD flows ($σ\ge…
Strong Solutions for 1D Compressible Navier-Stokes/Allen-Cahn System with Phase Variable Dependent Viscosity
Yuanxiang Yan, Shijin Ding, Yinghua Li
This paper is concerned with a non-isentropic compressible Navier-Stokes/Allen-Cahn system with phase variable dependent viscosity and temperature dependent heat-conduct…
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…