Steady multipolar planar vortices with nonlinear critical layers

DOI10.1080/03091920412331294845zbMath1206.86006OpenAlexW1972737125MaRDI QIDQ3080182

Philippe Caillol, R. H. J. Grimshaw

Publication date: 5 March 2011

Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://figshare.com/articles/preprint/Steady_multipolar_planar_vortices_with_nonlinear_critical_layers/9379700

zbMATH Keywords

asymptotic expansionsmultipolar planar vorticesnon-linear critical layers

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Vortex flows for incompressible inviscid fluids (76B47) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

Related Items (10)

On the stability of discrete tripole, quadrupole, Thomson' vortex triangle and square in a two-layer/homogeneous rotating fluid ⋮ Waves on a Stuart vortex ⋮ A vorticity wave packet breaking within a rapidly rotating vortex. Part I: The critical layer flow ⋮ Rotating multipoles on the f- and γ-planes ⋮ Critical layer analysis of stuart vortices in a plane jet ⋮ One case of vortex motion in fluid. (Translated from the Russian 1903 original) With an appendix by V. V. Meleshko and G. J. F. van Heijst ⋮ Strongly nonlinear Langmuir circulation and Rayleigh–Bénard convection ⋮ A singular vorticity wave packet within a rapidly rotating vortex: spiralling versus oscillating motions ⋮ Nonlinear Singular Kelvin Modes in a Columnar Vortex ⋮ A steady nonlinear and singular vortex Rossby wave within a rapidly rotating vortex. Part I: Theory

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• On the evolution and saturation of instabilities of two-dimensional isolated circular vortices
• On the high Reynolds number flow over a wavy boundary
• Critical Layers m Parallel Flows
• Quasi-steady monopole and tripole attractors for relaxing vortices

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