Title
Stability Of Motion Induced By A Point Vortex Under Arbitrary Polynomial Perturbations
Abstract
In this paper, we shall prove the stability of the particle advection around a fixed vortex in a two-dimensional ideal fluid under the action of a periodic background flow induced by a polynomial field. The proof relies on the identification of closed invariant curves around the origin by means of Moser's invariant curve theorem.
Year
DOI
Venue
2021
10.1137/20M1354362
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
Keywords
DocType
Volume
point-vortex, singularity, stability, Moser's twist theorem
Journal
20
Issue
ISSN
Citations 
1
1536-0040
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Qihuai Liu100.34
Pedro J. Torres2177.08