Twist dynamics and Aubry-Mather sets around a periodically perturbed point-vortex
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.03.009
Abstract: Abstract We consider the model of a point-vortex under a periodic perturbation and give sufficient conditions for the existence of generalized quasi-periodic solutions with rotation number. The proof relies on Aubry-Mather theory to obtain the… read more here.
Keywords: twist dynamics; mather sets; point vortex; dynamics aubry ... See more keywords
Entrapping of a vortex pair interacting with a fixed point vortex revisited. I. Point vortices
Sign Up to like & getrecommendations! Published in 2018 at "Physics of Fluids"
DOI: 10.1063/1.5040884
Abstract: The problem of a pair of point vortices impinging on a fixed point vortex of arbitrary strengths [E. Ryzhov and K. Koshel, “Dynamics of a vortex pair interacting with a fixed point vortex,” Europhys. Lett.… read more here.
Keywords: motion; pair; point vortex; vortex pair ... See more keywords
Explicit nondegeneracy conditions of KAM tori for the planar N-point vortex systems
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0138452
Abstract: In this paper, we give an explicit nondegeneracy condition for the existence of Kolmogorov-Arnold-Moser (KAM) tori of an N-point vortex system on the plane by using the method of reduction via generalized Jacobi coordinates and… read more here.
Keywords: system; kam tori; nondegeneracy conditions; point vortex ... See more keywords
Intermittency of three-dimensional perturbations in a point-vortex model.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.103.053102
Abstract: Three-dimensional (3D) instabilities on a (potentially turbulent) two-dimensional (2D) flow are still incompletely understood, despite recent progress. Here, based on known physical properties of such 3D instabilities, we propose a simple, energy-conserving model describing this… read more here.
Keywords: regime; model; point vortex; three dimensional ... See more keywords
Hamiltonian derivation of the point vortex model from the two-dimensional nonlinear Schrödinger equation.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.107.025107
Abstract: We present a rigorous derivation of the point vortex model starting from the two-dimensional nonlinear Schrödinger equation, from the Hamiltonian perspective, in the limit of well-separated, subsonic vortices on the background of a spatially infinite… read more here.
Keywords: two dimensional; dimensional nonlinear; vortex model; derivation point ... See more keywords