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Collapse of point vortex lattices
Physica D: Nonlinear Phenomena, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Point Vortex Dynamics Influenced by the Surface Motion [PDF]
We study a coupled system of differential equations, which models the dynamics of fluid with a free surface and a point vortex in the body of the fluid. For long surface waves of small amplitude, the effects of the interaction between the waves and the point vortex are modeled within the framework of the Boussinesq regime.
Delia Ionescu-Kruse +2 more
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Flux expulsion by a point vortex
European Journal of Mechanics - B/Fluids, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A study of singularity formation in a vortex sheet by the point-vortex approximation
Journal of Fluid Mechanics, 1986The initial-value problem for perturbations of a flat, constant-strength vortex sheet is linearly ill posed in the sense of Hadamard, owing to Kelvin-Helmholtz instability. Previous numerical studies of this problem have experienced difficulty in converging when the mesh was refined.
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Statistical Point Vortex Theories
2001In a paper that initiated the modern treatment of “statistical hydrodynamics,” Onsager (1949) described a point vortex-based theory of turbulence that has proven to be remarkably fruitful, if not all together perfect, and which continues to produce a lively and growing literature.
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Self-similar Motions and Related Relative Equilibria in the N-point Vortex System
Journal of Dynamics and Differential Equations, 2020Takeshi Gotoda
exaly
Minimal polynomial systems for point vortex equilibria
Physica D: Nonlinear Phenomena, 2006Kevin A O'Neil
exaly
Latitudinal point vortex rings on the spheroid
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2010Sun-Chul Kim
exaly

