Asymptotic behavior of global vortex rings
Analysis of PDEs
2019-10-17 v1
Abstract
In this paper, we are concerned with nonlinear desingularization of steady vortex rings in with given general nonlinearity . Using the improved vorticity method, we construct a family of steady vortex rings which constitute a desingularization of the classical circular vortex filament in the whole space. The requirements on are very general, and may have a simple discontinuity at the origin. Some qualitative and asymptotic properties are also established.
Keywords
Cite
@article{arxiv.1910.07493,
title = {Asymptotic behavior of global vortex rings},
author = {Daomin Cao and Jie Wan and Guodong Wang and Weicheng Zhan},
journal= {arXiv preprint arXiv:1910.07493},
year = {2019}
}
Comments
13 pages. arXiv admin note: text overlap with arXiv:1909.00355