Four-vortex motion in the two-layer approximation: Integrable case
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Publication:5938502
DOI10.1070/rd2000v005n04ABEH000157zbMath0973.76018MaRDI QIDQ5938502
Jacques Verron, Mikhail A. Sokolovskiy
Publication date: 22 July 2001
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
vortex flowfour point vorticesfour vortex linessolution by quadraturesthree point vorticestwo-layer rotating fluid
Vortex flows for incompressible inviscid fluids (76B47) General theory of rotating fluids (76U05) Stratification effects in inviscid fluids (76B70)
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Parametric instability of a many point-vortex system in a multi-layer flow under linear deformation ⋮ Studies of perturbed three vortex dynamics ⋮ Two-layer quasigeostrophic potential vorticity model ⋮ Three-vortex quasi-geostrophic dynamics in a two-layer fluid. Part 1. Analysis of relative and absolute motions ⋮ Three-vortex quasi-geostrophic dynamics in a two-layer fluid. Part 2. Regular and chaotic advection around the perturbed steady states ⋮ Integrable two layer point vortex motion on the half plane ⋮ Stability and transitions of hetonic quartets and baroclinic modons ⋮ Two-layer quasi-geostrophic singular vortices embedded in a regular flow. Part 1. Invariants of motion and stability of vortex pairs ⋮ Head-on collisions between two quasi-geostrophic hetons in a continuously stratified fluid ⋮ Stability of point-vortex multipoles revisited
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