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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…