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Contact discontinuities for 3-D axisymmetric flows with nonzero swirl
Abstract
In this paper, we prove the existence and far-field behavior of an axisymmetric solution (ρ,u,p) to the steady Euler system in an infinitely long cylindrical nozzle with a perturbed wall r=R(x1), containing a contact discontinuity r=gD(x1). The background flow carries a nonzero swirl component β0eθ, where β0 is not necessarily small. Consequently, the background entropy, Bernoulli function, and angular momentum density depend on the radial variable, and their radial derivatives are not necessarily small.
Related
- Vorticity growth beyond bounded relative vorticity for axisymmetric Euler flows without swirl
- Steady Euler flows with contact discontinuities in infinitely long nozzles with general upstream data
- A special Hardy estimate in the axisymmetric swirl problem
- Axisymmetric Navier--Stokes with Swirl: Regularity and Blow-Up Constraints
- Hardy Criticality in Axisymmetric Swirl
BibTeX
@misc{bae2026contact,
title = {{Contact discontinuities for 3-D axisymmetric flows with nonzero swirl}},
author = {Myoungjean Bae and Jong-Seo Yoon},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.19821},
eprint = {2609.19821},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.19821},
}
RIS
TY - UNPB
TI - Contact discontinuities for 3-D axisymmetric flows with nonzero swirl
AU - Myoungjean Bae
AU - Jong-Seo Yoon
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.19821
UR - https://arxiv.org/abs/2609.19821
AB - In this paper, we prove the existence and far-field behavior of an axisymmetric solution (ρ,u,p) to the steady Euler system in an infinitely long cylindrical nozzle with a perturbed wall r=R(x_1), containing a contact discontinuity r=g_D(x_1). The background flow carries a nonzero swirl component β_0e_θ, where β_0 is not necessarily small. Consequently, the background entropy, Bernoulli function, and angular momentum density depend on the radial variable, and their radial derivatives are not necessarily small.
ER -