Thresholds for the formation of satellites in two-dimensional vortices

DOI10.1017/S0022112008003558zbMath1157.76011OpenAlexW2144056861WikidataQ57946857 ScholiaQ57946857MaRDI QIDQ3600950

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Publication date: 9 February 2009

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112008003558

zbMATH Keywords

asymptotic limitfinite perturbation thresholdnormal mode/critical-layer equations

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Viscous vortex flows (76D17)

Cites Work

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• Emergence and evolution of tripole vortices from net-circulation initial conditions
• Inviscid damping of asymmetries on a two-dimensional vortex
• Axisymmetrization and vorticity-gradient intensification of an isolated two-dimensional vortex through filamentation
• The spiral wind-up of vorticity in an inviscid planar vortex
• On the persistence of non-axisymmetric vortices in inviscid two-dimensional flows
• Multipolar vortices in two-dimensional incompressible flows
• The life-cycle of tripoles in two-dimensional incompressible flows
• Non-axisymmetric vortices in two-dimensional flows
• The Effect of Viscosity on the Stability of Planar Vortices with Fine Structure
• Rapid relaxation of an axisymmetric vortex
• The emergence of isolated coherent vortices in turbulent flow
• Neutral modes of a two-dimensional vortex and their link to persistent cat’s eyes
• Linear and nonlinear decay of cat's eyes in two-dimensional vortices, and the link to Landau poles
• Quasi-steady monopole and tripole attractors for relaxing vortices

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