60 citations · 154 across the 19 of their papers we have counts for
21 papers
Contact discontinuities for 3-D axisymmetric flows with nonzero swirl
Myoungjean Bae, Jong-Seo Yoon
In this paper, we prove the existence and far-field behavior of an axisymmetric solution to the steady Euler system in an infinitely long cylindrical nozzle with…
Global Uniqueness of Subsonic Flows for the Steady Euler-Poisson System
Myoungjean Bae, Ben Duan, Chunjing Xie
We prove the global uniqueness of multidimensional subsonic flows for the steady Euler--Poisson system in a bounded nozzle in the sense that uniqueness holds without restricting so…
Classical solutions to a mixed-type PDE with a Keldysh-type degeneracy and accelerating transonic solutions to the Euler-Poisson system
Myoungjean Bae, Ben Duan, Chunjing Xie
In this paper, we first prove the existence of classical solutions to a class of Keldysh-type equations. Next, we apply this existence result to prove the structural stability of o…
A review on two types of sonic interfaces
Myoungjean Bae
In this paper, two examples of sonic interfaces are presented. The first example shows the case of sonic interfaces as weak discontinuities in self-similar shock configurations of…
The steady Euler-Poisson system and accelerating flows with transonic -transitions
Myoungjean Bae, Ben Duan, Chunjing Xie
In this paper, we prove the existence of two-dimensional solutions to the steady Euler-Poisson system with continuous transonic transitions across sonic interfaces of codimension 1…
Supersonic flows of the Euler-Poisson system in three-dimensional cylinders
Myoungjean Bae, Hyangdong Park
In this paper, we prove the unique existence of three-dimensional supersonic solutions to the steady Euler-Poisson system in cylindrical nozzles when prescribing the velocity, entr…
Three-dimensional supersonic flows of Euler-Poisson system for potential flow
Myoungjean Bae, Hyangdong Park
We prove the unique existence of supersonic solutions of the Euler- Poisson system for potential flow in a three-dimensional rectangular cylinder when prescribing the velocity and…
Detached shock past a blunt body
Myoungjean Bae, Wei Xiang
In , a symmetric blunt body is fixed by smoothing out the tip of a symmetric wedge with the half-wedge angle . We first show that if a hori…
Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems
Myoungjean Bae, Gui-Qiang G. Chen, Mikhail Feldman
We are concerned with the Prandtl-Meyer reflection configurations of unsteady global solutions for supersonic flow impinging upon a symmetric solid wedge. Prandtl (1936) first empl…
Contact discontinuities for 3-D axisymmetric inviscid compressible flows in infinitely long cylinders
Myoungjean Bae, Hyangdong Park
We prove the existence of a subsonic axisymmetric weak solution with to steady Euler system in a three-dimensional…
Contact discontinuities for 2-D inviscid compressible flows in infinitely long nozzles
Myoungjean Bae, Hyangdong Park
We prove the existence of a subsonic weak solution to steady Euler system in a two-dimensional infinitely long nozzle when prescribing the value of the entropy $(…
Radial transonic shock solutions of Euler-Poisson system in convergent nozzles
Myoungjean Bae, Yong Park
Given constant data of density , velocity , pressure and electric force for supersonic flow at the entrance, and constant pressure $p_{\rm…
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…
Structural stability of Supersonic solutions to the Euler-Poisson system
Myoungjean Bae, Ben Duan, Jingjing Xiao +1
The well-posedness for the supersonic solutions of the Euler-Poisson system for hydrodynamical model in semiconductor devices and plasmas is studied in this paper. We first reformu…
Two dimensional subsonic flows with self-gravitation in bounded domain
Myoungjean Bae, Ben Duan, Chunjing Xie
We investigate two dimensional steady Euler-Poisson system which describe the motion of compressible self-gravitating flows. The unique existence and stability of subsonic flows in…
Subsonic solutions for steady Euler-Poisson system in two dimensional nozzles
Myoungjean Bae, Ben Duan, Chunjing Xie
In this paper, we prove the existence and stability of subsonic flows for steady full Euler-Poisson system in a two dimensional nozzle of finite length when imposing the electric p…
Subsonic flow for multidimensional Euler-Poisson system
Myoungjean Bae, Ben Duan, Chunjing Xie
We establish unique existence and stability of subsonic potential flow for steady Euler-Poisson system in a multidimensional nozzle of a finite length when prescribing the electric…
Prandtl-Meyer Reflection for Supersonic Flow past a Solid Ramp
Myoungjean Bae, Gui-Qiang Chen, Mikhail Feldman
We present our recent results on the Prandtl-Meyer reflection for supersonic potential flow past a solid ramp. When a steady supersonic flow passes a solid ramp, there are two poss…
Stability Of contact discontinuity for steady Euler System in infinite duct
Myoungjean Bae
In this paper, we prove structural stability of contact discontinuities for full Euler system.
Transonic Shocks In Multidimensional Divergent Nozzles
Myoungjean Bae, Mikhail Feldman
We establish existence, uniqueness and stability of transonic shocks for steady compressible non-isentropic potential flow system in a multidimensional divergent nozzle with an arb…
Regularity of Solutions to Regular Shock Reflection for Potential Flow
Myoungjean Bae, Gui-Qiang Chen, Mikhail Feldman
The shock reflection problem is one of the most important problems in mathematical fluid dynamics, since this problem not only arises in many important physical situations but also…