The uniqueness of a family of steady vortex rings

DOI10.1007/BF00251515zbMath0694.76011OpenAlexW2006611544MaRDI QIDQ909528

L. Edward Fraenkel, Charles J. Amick

Publication date: 1988

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00251515

zbMATH Keywords

one-parameter family of solutionsfamily of steady vortex ringsNorbury's problem

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (12)

Remarks on orbital stability of steady vortex rings ⋮ The uniqueness of Hill's spherical vortex ⋮ Stability of Lamb dipoles ⋮ Steady axisymmetric vortex flows with swirl and shear ⋮ Nested axi-symmetric vortex rings ⋮ Existence and numerical modelling of vortex rings with elliptic boundaries ⋮ On 2D steady Euler flows with small vorticity near the boundary ⋮ Desingularization of vortex rings in 3 dimensional Euler flows ⋮ Planar vortex patch problem in incompressible steady flow ⋮ Existence of steady vortex rings in an ideal fluid ⋮ Regularization of planar vortices for the incompressible flow ⋮ Local uniqueness for vortex patch problem in incompressible planar steady flow

Cites Work

• The uniqueness of Hill's spherical vortex
• A global theory of steady vortex rings in an ideal fluid
• Nonlinear elliptic problems in strip-like domains: symmetry of positive vortex rings
• Vortex Rings: Existence and Asymptotic Estimates
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