An asymptotic theory for the nonlinear instability of antiparallel pairs of vortex filaments

DOI10.1063/1.858860zbMath0767.76018OpenAlexW2048972227MaRDI QIDQ4696350

Andrew J. Majda, Rupert Klein

Publication date: 29 June 1993

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.858860

zbMATH Keywords

self- stretchinginternal effectsself-inductionvortices of unequal strength

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30)

Related Items (7)

Thin-tube vortex simulations for sinusoidal instability in a counter-rotating vortex pair ⋮ Asymptotic vorticity structure and numerical simulation of slender vortex filaments ⋮ Simplified equations for the interaction of nearly parallel vortex filaments ⋮ Self-stretching of a perturbed vortex filament. I: The asymptotic equation for deviations from a straight line ⋮ Weakly nonlinear saturation of short-wave instabilities in a strained Lamb–Oseen vortex ⋮ Formation of Singularities and Self-Similar Vortex Motion Under the Localized Induction Approximation† ⋮ Absence of singular stretching of interacting vortex filaments

Cites Work

• The evolution of a turbulent vortex
• Self-stretching of a perturbed vortex filament. I: The asymptotic equation for deviations from a straight line
• Vortex equilibria in turbulence theory and quantum analogues
• Self-stretching of perturbed vortex filaments. II: Structure of solutions
• Collapsing solutions to the 3-D Euler equations
• Vortex dynamics and the existence of solutions to the Navier–Stokes equations
• Asymptotic equations for the stretching of vortex filaments in a background flow field
• Motion of a Curved Vortex Filament with Decaying Vortical Core and Axial Velocity
• A soliton on a vortex filament

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