Title | ||
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Stability Of Motion Induced By A Point Vortex Under Arbitrary Polynomial Perturbations |
Abstract | ||
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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 Liu | 1 | 0 | 0.34 |
Pedro J. Torres | 2 | 17 | 7.08 |