Non-local dynamics governing the self-induced motion of a planar vortex filament

DOI10.1063/1.4922171zbMath1326.76035OpenAlexW1564481794MaRDI QIDQ3456930

Robert A. van Gorder

Publication date: 10 December 2015

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

Full work available at URL: https://semanticscholar.org/paper/5db517aebe6678bdb6a6ccd5dafb03e3eecf52c7

Mathematics Subject Classification ID

Statistical mechanics of superfluids (82D50) Viscous vortex flows (76D17)

Related Items (3)

Self-similar vortex filament motion under the non-local Biot–Savart model ⋮ Motion of open vortex-current filaments under the Biot–Savart model ⋮ Dynamics of nearly parallel interacting vortex filaments

Cites Work

• A locally induced homoclinic motion of a vortex filament
• General rotating quantum vortex filaments in the low-temperature Svistunov model of the local induction approximation
• Helical vortex filament motion under the non-local Biot–Savart model
• A vortex filament moving without change of form
• Stationary configurations of a vortex filament in background flows
• Formation of Singularities and Self-Similar Vortex Motion Under the Localized Induction Approximation†
• The contributions of Da Rios and Levi-Civita to asymptotic potential theory and vortex filament dynamics
• Evolution of vortex knots
• A soliton on a vortex filament
• On the motion of slender vortex filaments

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