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Three-dimensional instability of an elliptic Kirchhoff vortex

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Publication:1123703
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DOI10.1007/BF01054740zbMath0677.76019MaRDI QIDQ1123703

S. H. Smith

Publication date: 1988

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


zbMATH Keywords

linear approximationthree-dimensional perturbationsinstability of a Kirchhoff vortex


Mathematics Subject Classification ID

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


Related Items

Normal forms for three-dimensional parametric instabilities in ideal hydrodynamics ⋮ Instability and breakdown of a vertical vortex pair in a strongly stratified fluid



Cites Work

  • Dynamics of an elliptic vortex
  • Instability of steady flows with constant vorticity in vessels of elliptic cross-section
  • The stability of short waves on a straight vortex filament in a weak externally imposed strain field
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