New instability of a thin vortex ring in an ideal fluid

DOI10.1134/S0015462820010012zbMath1475.76051OpenAlexW3012529678MaRDI QIDQ2238161

R. V. Akinshin

Publication date: 29 October 2021

Published in: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0015462820010012

zbMATH Keywords

linear approximationHelmholtz equationbasis deformationisochronous vortex ringlong-wave oscillation

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Hydrodynamic stability (76E99)

Cites Work

• Unnamed Item
• Steady vortex ring with isochronous flow in the vortex core
• Basic displacements in the problem of core perturbations of a thin isochronous vortex ring
• The instability of the thin vortex ring of constant vorticity
• Vortex ring eigen-oscillations as a source of sound
• Curvature instability of a vortex ring
• Hydrodynamic Stability
• Vortex Dynamics
• On steady vortex rings of small cross-section in an ideal fluid
• Examples of steady vortex rings of small cross-section in an ideal fluid

This page was built for publication: New instability of a thin vortex ring in an ideal fluid