activity
20182026
most citedTransonic shocks for 3-D axisymmetric compressible inviscid flows in cylinders

7 citations · 10 across the 8 of their papers we have counts for

collaborators

8 papers

math.AP2026

A Two-Phase Free Boundary Problem for Axisymmetric Subsonic Euler Flows with Contact Discontinuities

Hyangdong Park

We study a free boundary problem for the three-dimensional steady compressible Euler equations in an infinitely long circular cylinder. The free boundary is a contact discontinuity…

math.AP2025

Three-dimensional Supersonic flows for the steady Euler-Poisson system in divergent nozzles

Hyangdong Park

We are concerned with the unique existence of an axisymmetric supersonic solution with nonzero vorticity and nonzero angular momentum density for the steady Euler-Poisson system in…

math.AP2023

Transonic shocks for three-dimensional axisymmetric flows in divergent nozzles

Hyangdong Park

We prove the stability of three-dimensional axisymmetric solutions to the steady Euler system with transonic shocks in divergent nozzles under perturbations of the exit pressure an…

math.AP2023

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…

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★ 7 cited

Transonic shocks for 3-D axisymmetric compressible inviscid flows in cylinders

Hyangdong Park, Hyeongyu Ryu

We establish the existence of an axisymmetric weak solution to the steady Euler system with a transonic shock, nonzero vorticity, and nonzero swirl in a three-dimensional cylinder.…

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 with to steady Euler system in a three-dimensional…

math.AP2018★ 3 cited

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 $(…