The N-vortex problem on a symmetric ellipsoid: A perturbation approach

DOI10.1063/1.2863515zbMath1153.81334arXiv0710.4004OpenAlexW2008557789MaRDI QIDQ3544621

César Castilho, Hélio MacHado

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.4004

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47)

Related Items (5)

Vortices on Closed Surfaces ⋮ Coupled motion of a rigid body and point vortices on a two-dimensional spherical surface ⋮ Vortex pairs on a triaxial ellipsoid and Kimura's conjecture ⋮ Three vortices in spaces of constant curvature: reduction, Poisson geometry, and stability ⋮ On the linear stability of a vortex pair equilibrium on a Riemann surface of genus zero

Cites Work

• The non-integrability of the restricted problem of two vortices in closed domains
• Non-integrability of the 4-vortex system: Analytical proof
• Motion of three point vortices on a sphere
• Stability of streets of vortices on surfaces of revolution with a reflection symmetry

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