Geometric phases for corotating elliptical vortex patches

DOI10.1063/1.1320855zbMath1052.76011OpenAlexW1994663911MaRDI QIDQ2731826

Paul K. Newton, Banavara N. Shashikanth

Publication date: 30 July 2001

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

Full work available at URL: https://authors.library.caltech.edu/2567/

zbMATH Keywords

Hamiltonian moment modelnonadiabatic phasessymplectic phase space

Mathematics Subject Classification ID

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

Related Items (1)

Reconstruction phases in the planar three- and four-vortex problems

Cites Work

• The stability of rotating vortex patches
• The connection whose holonomy is the classical adiabatic angles of Hannay and Berry and its generalization to the non-integrable case
• A nonlinear Hamiltonian structure for the Euler equations
• Nonlinear stability of circular vortex patches
• On the evolution of nearly circular vortex patches
• Symplectic reduction for semidirect products and central extensions
• Hannay-Berry phase and the restricted three-vortex problem
• Vortex motion and the geometric phase. I: Basic configurations and asymptotics
• Reconstruction phases via Poisson reduction
• Quantal phase factors accompanying adiabatic changes
• Coaxial scattering of Euler-equation translating V -states via contour dynamics
• A moment model for vortex interactions of the two-dimensional Euler equations. Part 1. Computational validation of a Hamiltonian elliptical representation
• Evolution and merger of isolated vortex structures

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