Contact discontinuities for axisymmetric subsonic flows in three-dimensional infinitely long cylinders
Analysis of PDEs
2026-05-06 v1
Abstract
We prove the existence of contact discontinuities for axisymmetric subsonic Euler flows with non-zero vorticity and non-zero angular momentum density in three-dimensional infinitely long cylinders. The problem is formulated as a two-phase free boundary problem in a cylinder of infinite length. We first solve the cut-off domain problem and take the limit. The cut-off domain problem is reformulated by using a Helmholtz decomposition method and solved via an iteration method. A sophisticated iteration scheme is devised to solve the two-phase free boundary problem.
Keywords
Cite
@article{arxiv.2605.03714,
title = {Contact discontinuities for axisymmetric subsonic flows in three-dimensional infinitely long cylinders},
author = {Hyangdong Park},
journal= {arXiv preprint arXiv:2605.03714},
year = {2026}
}