5 papers · 1 filter
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…
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…
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.…
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 $(…