Results 11 to 20 of about 12,014 (293)
Stationary configurations of point vortices [PDF]
Transactions of the American Mathematical Society, 1987 The motion of point vortices in a plane of fluid is an old problem of fluid mechanics, which was given a Hamiltonian formulation by Kirchhoff. Stationary configurations are those which remain self-similar throughout the motion. Results of two types are presented.
Kevin Anthony O’Neil
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Point vortices on the hyperbolic plane [PDF]
Journal of Mathematical Physics, 2014 We investigate the dynamical system of point vortices on the hyperboloid. This system has non-compact symmetry SL(2, R) and a coadjoint equivariant momentum map. The relative equilibrium conditions are found and the trajectories of relative equilibria with non-zero momentum value are described.
Montaldi, James; id_orcid 0000-0002-2135-8998 +1 more
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Point vortices on a rotating sphere [PDF]
, 2003 25 pages, 16 ...
Laurent-Polz, Frédéric +1 more
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Applications of point vortex equilibria: blocking events and the stability of the polar vortex [PDF]
Tellus: Series A, Dynamic Meteorology and Oceanography, 2015 The present study investigates non-linear dynamics of atmospheric flow phenomena on different scales as interactions of vortices. Thereby, we apply the idealised, two-dimensional concept of point vortices considering two important issues in atmospheric ...
Annette Müller +5 more
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Physical Review Research, 2023 We investigate the properties of a two-dimensional spinor microcavity polariton system driven by a linearly polarized continuous pump. In particular, we establish the role of the elementary excitations, namely, the so-called half-vortices and full ...
G. Dagvadorj +2 more
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Advances in Mathematical Physics, 2021 In this study, we geometrically analyze the relation between a point vortex system and deviation curvatures on the Jacobi field. First, eigenvalues of deviation curvatures are calculated from relative distances of point vortices in a three point vortex ...
Yuma Hirakui, Takahiro Yajima
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Polynomial Method for Constructing Equilibrium Configurations of Point Vortices in the Plane
Моделирование и анализ информационных систем, 2015 The problem of constructing and classifying stationary and translating configurations of point vortices with an arbitrary choice of circulations is studied.
M. V. Demina, N. A. Kudryashov
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Point vortices on the sphere: a case with opposite vorticities [PDF]
Nonlinearity, 2001 35 pages, 9 ...
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The merger of two-dimensional radially stratified high-Froude-number vortices [PDF]
, 2007 We investigate the influence of density inhomogeneities on the merger of two corotating two-dimensional vortices at infinite Froude number. In this situation, buoyancy effects are negligible, yet density variations still affect the flow by pure inertial ...
Reinaud, Jean N. +2 more
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Massive superfluid vortices and vortex necklaces on a planar annulus
SciPost Physics, 2023 We study a superfluid in a planar annulus hosting vortices with massive cores. An analytical point-vortex model shows that the massive vortices may perform radial oscillations on top of the usual uniform precession of their massless counterpart. Beyond a
Matteo Caldara, Andrea Richaud, Massimo Capone, Pietro Massignan
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