4 papers
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 $(…