3 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.AP2024
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…