Solitary waves with recirculation zones in axisymmetric rotating flows

DOI10.1017/S0022112002008790zbMath1029.76008OpenAlexW2092170586MaRDI QIDQ4787775

R. H. J. Grimshaw, Oleg G. Derzho

Publication date: 8 February 2004

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

Full work available at URL: https://doi.org/10.1017/s0022112002008790

zbMATH Keywords

analytical solutionsasymptotic modelinviscid incompressible fluidcritical amplituderecirculation zonesreversed flowamplitude equationvortex breakdownaxially symmetric rotating flowlarge-amplitude travelling solitary waveslong circular circular tube

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Solitary waves for incompressible inviscid fluids (76B25) General theory of rotating fluids (76U05)

Related Items (4)

KdV equation model in open cylindrical channel under precession ⋮ A vorticity wave packet breaking within a rapidly rotating vortex. Part II: wave/mean flow interaction ⋮ A singular vorticity wave packet within a rapidly rotating vortex: spiralling versus oscillating motions ⋮ The steady-state form of large-amplitude internal solitary waves

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