The jet problem for three-dimensional axisymmetric compressible subsonic flows with large vorticity

TL;DR

This paper proves the existence of smooth, large-vorticity, subsonic jet flows in three-dimensional axisymmetric compressible fluids using variational methods, given specific upstream conditions and sufficient mass flux.

Contribution

It introduces a novel variational approach to establish existence of large-vorticity jet flows in 3D axisymmetric compressible Euler systems.

Findings

Existence of smooth subsonic jet flows with large vorticity.

Unique outer pressure for given upstream axial velocity.

Flow behavior characterized at far fields.

Abstract

In this paper, we establish the existence of three-dimensional axisymmetric compressible jet flows for steady Euler system with large vorticity by using the variational method. More precisely, for given axial velocity of the flow at the upstream, if the mass flux is sufficiently large, we can find a unique outer pressure such that a smooth subsonic three-dimensional axisymmetric jet flow with large vorticity exists and has certain far fields behavior.