The non-integrability of the restricted problem of two vortices in closed domains

DOI10.1016/0167-2789(94)90253-4zbMath1194.76030OpenAlexW1968145776MaRDI QIDQ994909

Luca Zannetti, Pasquale Franzese

Publication date: 13 September 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)90253-4

Mathematics Subject Classification ID

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

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Periodic solutions with prescribed minimal period of vortex type problems in domains ⋮ Periodic motions of fluid particles induced by a prescribed vortex path in a circular domain ⋮ Point vortex motion on a sphere with solid boundaries ⋮ The N-vortex problem on a symmetric ellipsoid: A perturbation approach

Cites Work

• Integrable, Chaotic, and Turbulent Vortex Motion in Two-Dimensional Flows
• A Modern Look at Conformal Mapping Including Multiply Connected Regions
• Stirring by chaotic advection
• Vortex Dynamics
• On the Motion of Vortices in Two Dimensions
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