7 citations · 50 across the 23 of their papers we have counts for
23 papers
Smooth Subsonic and Transonic Flows with Nonzero Angular Velocity and Vorticity to steady Euler-Poisson system in a Concentric Cylinder
Shangkun Weng, Wengang Yang, Na Zhang
In this paper, both smooth subsonic and transonic flows to steady Euler-Poisson system in a concentric cylinder are studied. We first establish the existence of cylindrically symme…
Subsonic flows with a contact discontinuity in a finitely long axisymmetric cylinder
Shangkun Weng, Zihao Zhang
This paper concerns the structural stability of subsonic flows with a contact discontinuity in a finitely long axisymmetric cylinder. We establish the existence and uniqueness of a…
Supersonic flows with a contact discontinuity to the two-dimensional steady rotating Euler system
Shangkun Weng, Zihao Zhang
This paper concerns the structural stability of supersonic flows with a contact discontinuity in a finitely long curved nozzle for the two-dimensional steady compressible rotating…
Existence and stability of cylindrical transonic shock solutions under three dimensional perturbations
Shangkun Weng, Zhouping Xin
We establish the existence and stability of cylindrical transonic shock solutions under three dimensional perturbations of the incoming flows and the exit pressure without any furt…
Subsonic flows with a contact discontinuity in a two-dimensional finitely long curved nozzle
Shangkun Weng, Zihao Zhang
In this paper, we establish the existence and uniqueness of subsonic flows with a contact discontinuity in a two-dimensional finitely long slightly curved nozzle by prescribing the…
Structural Stability of Transonic Shock Flows with an External Force
Shangkun Weng, Wengang Yang
This paper is devoted to the structural stability of a transonic shock passing through a flat nozzle for two-dimensional steady compressible flows with an external force. We first…
Two dimensional subsonic and subsonic-sonic spiral flows outside a porous body
Shangkun Weng, Zihao Zhang
In this paper, we investigate two dimensional subsonic and subsonic-sonic spiral flows outside a porous body. The existence and uniqueness of the subsonic spiral flow are obtained…
On the existence of helical invariant solutions to steady Navier-Stokes equations
Mikhail Korobkov, Wenqi Lyu, Shangkun Weng
In this paper, we investigate the nonhomogeneous boundary value problem for the steady Navier-Stokes equations in a helically symmetric spatial domain. When data is assumed to be h…
Decay properties of Axially Symmetric D-solutions to the Steady Incompressible Magnetohydrodynamic Equations
Shangkun Weng, Yan Zhou
In this paper, we investigate the decay properties of axially symmetric solutions to the steady incompressible magnetohydrodynamic equations in with finite Dirichlet…
Steady Compressible Radially Symmetric Flows with Nonzero Angular Velocity in an Annulus
Shangkun Weng, Zhouping Xin, Hongwei Yuan
In this paper, we investigate steady inviscid compressible flows with radial symmetry in an annulus. The major concerns are transonic flows with or without shocks. One of the main…
On Some Smooth Symmetric Transonic Flows with Nonzero Angular Velocity and Vorticity
Shangkun Weng, Zhouping Xin, Hongwei Yuan
This paper concerns the structural stability of smooth cylindrically symmetric transonic flows in a concentric cylinder. Both cylindrical and axi-symmetric perturbations are consid…
Structural stability of the transonic shock problem in a divergent three dimensional axisymmetric perturbed nozzle
Shangkun Weng, Chunjing Xie, Zhouping Xin
In this paper, we prove the structural stability of the transonic shocks for three dimensional axisymmetric Euler system with swirl velocity under the perturbations for the incomin…
A note on optimal decay rates for the axisymmetric D-solutions to the steady Navier-Stokes equations
Shangkun Weng, Chunjing Xie
In this paper, we investigate the decay properties of an axisymmetric D-solutions to stationary incompressible Navier-Stokes systems in . We obtain the optimal decay…
3-D axisymmetric subsonic flows with nonzero swirl for the compressible Euler-Poisson system
Myoungjean Bae, Shangkun Weng
We address the structural stability of 3-D axisymmetric subsonic flows with nonzero swirl for the steady compressible Euler-Poisson system in a cylinder supplemented with non small…
Liouville type theorems for the steady axially symmetric Navier-Stokes and magnetohydrodynamic equations
Dongho Chae, Shangkun Weng
In this paper we study Liouville properties of smooth steady axially symmetric solutions of the Navier-Stokes equations. First, we provide another version of the Liouville theorem…
Existence of axially symmetric weak solutions to steady MHD with non-homogeneous boundary conditions
Shangkun Weng
We establish the existence of axially symmetric weak solutions to steady incompressible magnetohydrodynamics with non-homogeneous boundary conditions. The key issue is the Bernoull…
Decay properties of smooth axially symmetric D-solutions to the steady Navier-Stokes equations
Shangkun Weng
We investigate the decay properties of smooth axially symmetric D-solutions to the steady Navier-Stokes equations. The achievements of this paper are two folds. One is improved dec…
Remarks on asymptotic behaviors of strong solutions to a viscous Boussinesq system
Shangkun Weng
In this paper, we first address the space-time decay properties for higher order derivatives of strong solutions to the Boussinesq system in the usual Sobolev space. The decay rate…
On analyticity and temporal decay rates of solutions to the viscous resistive Hall-MHD system
Shangkun Weng
We address the analyticity and large time decay rates for strong solutions of the Hall-MHD equations. By Gevrey estimates, we show that the strong solution with small initial date…
Space-time decay estimates for the incompressible viscous resistive Hall-MHD equations
Shangkun Weng
In this paper, we address the space-time decay properties for strong solutions to the incompressible viscous resistive Hall-MHD equations. We obtained the same space-time decay rat…
Singularity formation for the incompressible Hall-MHD equations without resistivity
Dongho Chae, Shangkun Weng
In this paper we show that the incompressible Hall-MHD system without resistivity is not globally in time well-posed in any Sobolev space for any $m>\frac{7}{…
On steady subsonic flows for Euler-Poisson models
Shangkun Weng
In this paper, we are concerned with the structural stability of some steady subsonic solutions for Euler-Poisson system. A steady subsonic solution with subsonic background charge…
A new formulation for the 3-D Euler equations with an application to subsonic flows in a cylinder
Shangkun Weng
In this paper, a new formulation for the three dimensional Euler equations is derived. Since the Euler system is hyperbolic-elliptic coupled in a subsonic region, so an effective d…