Myoungjean Bae

activity

20162021

collaborators

6 papers

math.AP2021

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…

math.AP2019

Detached shock past a blunt body

Myoungjean Bae, Wei Xiang

In $R^{2}$ , a symmetric blunt body $W_{b}$ is fixed by smoothing out the tip of a symmetric wedge $W_{0}$ with the half-wedge angle $θ_{w} \in (0, \frac{π}{2})$ . We first show that if a hori…

math.AP2019

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 $(u, ρ, p)$ with $u = u_{x} e_{x} + u_{r} e_{r} + u_{θ} e_{θ}$ to steady Euler system in a three-dimensional…

math.AP2018

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 $(u, ρ, p)$ to steady Euler system in a two-dimensional infinitely long nozzle when prescribing the value of the entropy $(…

math.AP2017

Radial transonic shock solutions of Euler-Poisson system in convergent nozzles

Myoungjean Bae, Yong Park

Given constant data of density $ρ_{0}$ , velocity $- u_{0} e_{r}$ , pressure $p_{0}$ and electric force $- E_{0} e_{r}$ for supersonic flow at the entrance, and constant pressure $p_{\rm…

math.AP2016

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…