Vortex Rings with Swirl: Axisymmetric Solutions of the Euler Equations with Nonzero Helicity

DOI10.1137/0520005zbMath0667.76038OpenAlexW2026252174MaRDI QIDQ3820197

Bruce Turkington

Publication date: 1989

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0520005

zbMATH Keywords

existence of steady solutionsincompressible inviscid fluidfree-boundary problemvariational techniquessteady solutionsthree-dimensional vortex flowaxisymmetric Euler equationsdesingularization of the classical circular vortex filament

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Variational principles of physics (49S05)

Related Items

Rigidity of Beltrami fields with a non-constant proportionality factor ⋮ Steady axisymmetric vortex flows with swirl and shear ⋮ A computational method of solving free-boundary problems in vortex dynamics ⋮ Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation ⋮ Instabilities of Ideal Fluids and Related Topics: Plenary Lecture, presented at the Annual GAMM Conference, Braunschweig 1994 ⋮ Axi-symmetric solutions for active vector models generalizing 3D Euler and electron-MHD equations ⋮ Axisymmetric magnetic vortices with swirl ⋮ Desingularization of vortex rings in 3 dimensional Euler flows ⋮ Desingularization of Vortices for Two-Dimensional Steady Euler Flows via the Vorticity Method ⋮ Nonlinear axisymmetric and three-dimensional vorticity dynamics in a swirling jet model ⋮ Existence of solutions for three dimensional stationary incompressible Euler equations with nonvanishing vorticity ⋮ Existence of vortex rings in Beltrami flows

This page was built for publication: Vortex Rings with Swirl: Axisymmetric Solutions of the Euler Equations with Nonzero Helicity