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Bilinear Relative Equilibria of Identical Point Vortices [PDF]
Journal of Nonlinear Science, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hassan Aref, Peter Beelen, Morten Brøns
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Self-similar point vortices and confinement of vorticity
Communications in Partial Differential Equations, 2018This papers deals with the large time behavior of solutions of the incompressible Euler equations in dimension 2.
Dragos Iftimie, Carlo Marchioro
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Occurrences of Vortices at an Intake of Point Sink Character [PDF]
, 2012 In this study, the occurrence of vortices entering the intake of point sink character is explained by fluid mechanics principles. All types of boundaries (air, solid, fluid interface and flow-dividing subsurface) cause obstruction effects on the intake flow. A vortex basically originates from the boundary that has obstruction effects on the intake flow.
YILDIRIM, Nevzat +2 more
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Relative equilibria of point vortices on the sphere [PDF]
Physica D: Nonlinear Phenomena, 2001 We prove the existence of many different symmetry types of relative equilibria for systems of identical point vortices on a non-rotating sphere. The proofs use the rotational symmetry group SO(3) and the resulting conservation laws, the time-reversing ...
James Montaldi, Chjan Lim
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Global Phase Diagrams of Three Point Vortices
International Journal of Bifurcation and Chaos, 2022In this paper, we investigate the dynamics of three-vortex systems and give a global phase diagram analysis with different types of parameters on the plane. By using the invariants to construct canonical transformations, the Hamiltonian of the three-vortex system is reduced to a desired two-dimensional Hamiltonian.
Qian Luo, Yufei Chen 0008, Qihuai Liu
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Entrapping of a vortex pair interacting with a fixed point vortex revisited. I. Point vortices [PDF]
Physics of Fluids, 2018 The reported study was partially supported by the POI FEB RAS Program “Mathematical simulation and analysis of dynamical processes in the ocean” (No. 117030110034-7) and by the Russian Foundation for Basic Research, Project No. 17-05-00035. E.A.R.
Jean Noel Reinaud, Evgeny Ryzhov
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Nonergodicity of point vortices
Physics of Fluids A: Fluid Dynamics, 1991The motion of N point vortices in a two-dimensional fluid is a Hamiltonian dynamical system with a 2N-dimensional phase space. The equations of motion for point vortices in a two-dimensional square doubly periodic domain are derived from those for an open domain.
Weiss, Jeffrey B., McWilliams, James C.
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Stationary Configurations of Point Vortices on a Cylinder
Regular and Chaotic Dynamics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Safonova, Dariya V. +2 more
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On the dynamics of point vortices
International Journal of Mathematical Education in Science and Technology, 1990The dynamics of a group of point vortices are studied numerically using several numerical integration schemes. From numerical experiments it is concluded that the computations must be performed with extreme care (high precision and very small time steps of integration).
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Clustered equilibria of point vortices
Regular and Chaotic Dynamics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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