5 papers
Steady super-Alfvénic MHD shocks with aligned fields in two-dimensional almost flat nozzles
Shangkun Weng, Wengang Yang
The Lorentz force induced by the magnetic field in MHD flow introduces a fundamental difference from pure gas dynamics by facilitating the anisotropic propagation of small disturba…
On three dimensional steady super-Alfvénic magnetohydrodynamics shocks with aligned fields
Shangkun Weng, Wengang Yang
The coupled motion between the hydrodynamic flow and magnetic field introduces significant complexity into the structure of the magnetohydrodynamic (MHD) equations. A key factor co…
Three dimensional spherical transonic shock in a hemispherical shell
Shangkun Weng
The existence and stability of a spherical transonic shock in a hemispherical shell under the three dimensional perturbations of the incoming flows and the exit pressure is establi…
The steady inviscid compressible self-similar flows and the stability analysis
Shangkun Weng, Hongwei Yuan
We investigate the steady inviscid compressible self-similar flows which depends only on the polar angle in spherical coordinates. It is shown that besides the purely supersonic an…
Some three dimensional smooth transonic flows for the steady Euler equations with an external force
Shangkun Weng, Zhouping Xin
We establish the existence and uniqueness of some smooth accelerating transonic flows governed by the three dimensional steady compressible Euler equations with an external force i…