3-D axisymmetric subsonic flows with nonzero swirl for the compressible Euler-Poisson system
Abstract
We address the structural stability of 3-D axisymmetric subsonic flows with nonzero swirl for the steady compressible Euler-Poisson system in a cylinder supplemented with non small boundary data. A special Helmholtz decomposition of the velocity field is introduced for 3-D axisymmetric flow with a nonzero swirl(=angular momentum density) component. With the newly introduced decomposition, a quasilinear elliptic system of second order is derived from the elliptic modes in Euler-Poisson system for subsonic flows. Due to the nonzero swirl, the main difficulties lie in the solvability of a singular elliptic equation which concerns the angular component of the vorticity in its cylindrical representation, and in analysis of streamlines near the axis .
Keywords
Cite
@article{arxiv.1604.05147,
title = {3-D axisymmetric subsonic flows with nonzero swirl for the compressible Euler-Poisson system},
author = {Myoungjean Bae and Shangkun Weng},
journal= {arXiv preprint arXiv:1604.05147},
year = {2016}
}