Vortex pairs on a triaxial ellipsoid and Kimura's conjecture

DOI10.3934/jgm.2018007zbMath1405.76008OpenAlexW2803369091WikidataQ129741500 ScholiaQ129741500MaRDI QIDQ1711943

Jair Koiller, César Castilho, Adriano Regis Rodrigues

Publication date: 18 January 2019

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2018007

zbMATH Keywords

Riemann surfacesvortex dynamicspoint vorticesfluid dynamics

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Applications of differential geometry to physics (53Z05) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (5)

Vortex pairs and dipoles on closed surfaces ⋮ Vortex pairs on the triaxial ellipsoid: axis equilibria stability ⋮ The \(n\)-vortex problem on a Riemann sphere ⋮ Generalized point vortex dynamics on \(\mathbb{CP}^2\) ⋮ On the linear stability of a vortex pair equilibrium on a Riemann surface of genus zero

Uses Software

• SKPrime

Cites Work

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• A novel formulation of point vortex dynamics on the sphere: geometrical and numerical aspects
• Rubber rolling over a sphere
• On the numerical computation of Poincaré maps
• Computing elliptic integrals by duplication
• Motion of three point vortices on a sphere
• The motion of three point vortices on a sphere
• A geometrical mass and its extremal properties for metrics on \(S^2\)
• Point vortices on the hyperbolic plane
• Vortices on Closed Surfaces
• The N-vortex problem on a symmetric ellipsoid: A perturbation approach
• Latitudinal point vortex rings on the spheroid
• Stability of streets of vortices on surfaces of revolution with a reflection symmetry
• Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry
• Vortex motion on surfaces with constant curvature
• The Schottky–Klein prime function: a theoretical and computational tool for applications
• The motion of a vortex on a closed surface of constant negative curvature
• Numerical description of the motion of a point vortex pair on ovaloids
• The motion of point vortices on closed surfaces
• On the Motion of Vortices in Two Dimensions

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