Quasi-periodic dynamics of desingularized vortex models

DOI10.1016/0167-2789(89)90154-1zbMath0687.76017OpenAlexW2027704087MaRDI QIDQ1263397

Chjan C. Lim

Publication date: 1989

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

Full work available at URL: http://hdl.handle.net/2027.42/27871

zbMATH Keywords

Hamiltonianstwo-dimensional Euler flowscanonical variablesSufficient conditionsKAM-theoryexistence of quasi-periodic solutionsdesingularized vortex modelsperiodic vortex sheetsecond order elliptic moment model

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Hamiltonian and Lagrangian mechanics (70H99)

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Cites Work

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• Desingularization of periodic vortex sheet roll-up
• Singular manifolds and quasi-periodic solutions of Hamiltonians for vortex lattices
• Stable and Random Motions in Dynamical Systems
• On singular Hamiltonians: the existence of quasi-periodic solutions and nonlinear stability
• A study of singularity formation in a vortex sheet by the point-vortex approximation
• A moment model for vortex interactions of the two-dimensional Euler equations. Part 1. Computational validation of a Hamiltonian elliptical representation
• Nonlinear vortex trail dynamics
• On the Numerical Solution of the Regularized Birkhoff Equations
• Convergence of the Vortex Method for Vortex Sheets
• Statistical mechanics of two-dimensional vortices in a bounded container
• Numerical studies of surface-tension effects in nonlinear Kelvin–Helmholtz and Rayleigh–Taylor instability