8 citations · 8 across the 10 of their papers we have counts for
12 papers
Stability of steady transonic shocks with constant states in 3D rectangular nozzles under small external forces
Shangkun Weng, Wengang Yang
This paper investigates the stability of steady transonic shocks with constant states in rectangular nozzles under small three dimensional perturbations of the external force and t…
Three-dimensional steady transonic shocks for the relativistic Euler equations
Shangkun Weng, Yan Zhou
We investigates the transonic shock problem for steady relativistic Euler equations in hemispherical shells. We show the existence and uniqueness of spherically symmetric transonic…
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…
Smooth helically symmetric transonic flows with nonzero vorticity in a concentric cylinder
Yi Ke, Shangkun Weng
This paper concerns the structural stability of smooth cylindrical symmetric transonic flows in a concentric cylinder under helically symmetric perturbation of suitable boundary co…
Subsonic Euler flows in a three-dimensional finitely long cylinder with arbitrary cross section
Shangkun Weng, Changkui Yao
This paper concerns the well-posedness of subsonic flows in a three-dimensional finitely long cylinder with arbitrary cross section. We establish the existence and uniqueness of su…
Smooth axisymmetric transonic irrotational flows to the steady Euler equations with an external force
Shangkun Weng, Yan Zhou
For a class of external forces, we prove the existence and uniqueness of smooth transonic flows to the one dimensional steady Euler system with an external force, which is subsonic…
Structural stability of three dimensional transonic shock flows with an external force
Shangkun Weng, Zihao Zhang, Yan Zhou
We establish the existence and uniqueness of the transonic shock solution for steady isentropic Euler system with an external force in a rectangular cylinder under the three-dimens…
Smooth transonic flows with nonzero vorticity to a quasi two dimensional steady Euler flow model
Shangkun Weng, Zhouping Xin
This paper concerns studies on smooth transonic flows with nonzero vorticity in De Laval nozzles for a quasi two dimensional steady Euler flow model which is a generalization of th…