11 citations · 21 across the 12 of their papers we have counts for
13 papers
Uniqueness of Transonic Shock Solutions for Two-Dimensional Steady Compressible Euler Flows in an Expanding Nozzle
Beixiang Fang, Xin Gao, Wei Xiang
In this paper, we are trying to show the uniqueness of transonic shock solutions in an expanding nozzle under certain conditions and assumptions on the boundary data and the shock…
Transonic Shocks for 2-D Steady Euler Flows with Large Gravity in a Nozzle for Polytropic Gases
Beixiang Fang, Xin Gao, Wei Xiang +1
In this paper, we are concerned with the existence of transonic shock solutions for two-dimensional (2-d) steady Euler flows of polytropic gases with the vertical gravity in a hori…
Transonic shock solutions for steady 3-D axisymmetric full Euler flows with large swirl velocity in a finite cylindrical nozzle
Beixiang Fang, Xin Gao, Wei Xiang +1
This paper concerns the existence and location of three-dimensional axisymmetric transonic shocks with large swirl velocity for shock solutions of the steady compressible full Eule…
On Uniqueness of Steady 1-D Shock Solutions in a Finite Nozzle via Asymptotic Analysis for Physical Parameters
Beixiang Fang, Su Jiang, Piye Sun
In this paper, we study the uniqueness of the steady 1-D shock solutions for the inviscid compressible Euler system in a finite nozzle via asymptotic analysis for physical paramete…
Transonic Shocks for 2-D Steady Exothermically Reacting Euler Flows in a Finite Nozzle
Beixiang Fang, Piye Sun, Qin Zhao
This paper concerns the existence of transonic shocks for steady exothermically reacting Euler flows in an almost flat nozzle with the small rate of the exothermic reaction. One of…
Local Well-posedness of Unsteady Potential Flows Near a Space Corner of Right Angle
Beixiang Fang, Wei Xiang, Feng Xiao
In this paper we are concerned with the local well-posedness of the unsteady potential flows near a space corner of right angle, which could be formulated as an initial-boundary va…
On Admissible Positions of Transonic Shocks for Steady Isothermal Euler Flows in a Horizontal Flat Nozzle under Vertical Gravity
Beixiang Fang, Xin Gao
In this paper we are concerned with the existence of transonic shocks for 2-D steady isothermal Euler flows in a horizontal flat nozzle under vertical gravity. In particular, we fo…
Persistence of the steady planar normal shock structure in 3-D unsteady potential flows
Beixiang Fang, Feimin Huang, Wei Xiang +1
This paper concerns the dynamic stability of the steady 3-D wave structure of a planar normal shock front intersecting perpendicularly to a planar solid wall for unsteady potential…
On Admissible Positions of Transonic Shocks for Steady Euler Flows in a 3-D Axisymmetric Cylindrical Nozzle
Beixiang Fang, Xin Gao
This paper concerns with the existence of transonic shocks for steady Euler flows in a 3-D axisymmetric cylindrical nozzle, which are governed by the Euler equations with the slip…
On Admissible Locations of Transonic Shock Fronts for Steady Euler Flows in an Almost Flat Finite Nozzle with Prescribed Receiver Pressure
Beixiang Fang, Zhouping Xin
This paper concerns the existence of transonic shock solutions to the 2-D steady compressible Euler system in an almost flat finite nozzle ( in the sense that it is a generic small…
Stability of Transonic Shocks in Steady Supersonic Flow past Multidimensional Wedges
Gui-Qiang Chen, Beixiang Fang
We are concerned with the stability of multidimensional (M-D) transonic shocks in steady supersonic flow past multidimensional wedges. One of our motivations is that the global sta…
Global Uniqueness of Steady Transonic Shocks in Two-Dimensional Compressible Euler Flows
Beixiang Fang, Li Liu, Hairong Yuan
We prove that for the two-dimensional steady complete compressible Euler system, with given uniform upcoming supersonic flows, the following three fundamental flow patterns (specia…
Stability of Transonic Shock-Fronts in Three-Dimensional Conical Steady Potential Flow past a Perturbed Cone
Gui-Qiang Chen, Beixiang Fang
For an upstream supersonic flow past a straight-sided cone in whose vertex angle is less than the critical angle, a transonic (supersonic-subsonic) shock-front attached to t…