7 citations · 7 across the 2 of their papers we have counts for
5 papers
Analysis on Tollmien-Schlichting wave in the Prandtl-Hartmann Regime
Cheng-Jie Liu, Tong Yang, Zhu Zhang
In this paper, we study the instability induced by the Tollmien-Schlichting wave governed by the MHD system in the Prandtl-Hartmann regime. The interaction of the inviscid mode and…
Validity of Prandtl expansions for steady MHD in the Sobolev framework
Cheng-Jie Liu, Tong Yang, Zhu Zhang
This paper is concerned with the vanishing viscosity and magnetic resistivity limit for the two-dimensional steady incompressible MHD system on the half plane with no-slip boundary…
Magnetic effects on the solvability of 2D MHD boundary layer equations without resistivity in Sobolev spaces
Cheng-Jie Liu, Dehua Wang, Feng Xie +1
In this paper, we are concerned with the magnetic effect on the Sobolev solvability of boundary layer equations for the 2D incompressible MHD system without resistivity. The MHD bo…
Local-in-time well-posedness for Compressible MHD boundary layer
Huang Yongting, Liu Cheng-Jie, Yang Tong
In this paper, we are concerned with the motion of electrically conducting fluid governed by the two-dimensional non-isentropic viscous compressible MHD system on the half plane, w…
Ill-posedness of the Prandtl equations in Sobolev spaces around a shear flow with general decay
Cheng-Jie Liu, Tong Yang
Motivated by the paper by D. Gerard-Varet and E. Dormy [JAMS, 2010] about the linear ill-posedness for the Prandtl equations around a shear flow with exponential decay in normal va…