Fully nonlinear local induction equation describing the motion of a vortex filament in superfluid 4He
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Publication:2863304
DOI10.1017/jfm.2012.308zbMath1275.76042OpenAlexW2171403776MaRDI QIDQ2863304
Publication date: 21 November 2013
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/jfm.2012.308
Related Items (7)
Decay of helical Kelvin waves on a quantum vortex filament ⋮ Motion of a helical vortex filament in superfluid 4He under the extrinsic form of the local induction approximation ⋮ Self-similar vortex dynamics in superfluid 4He under the Cartesian representation of the Hall-Vinen model including superfluid friction ⋮ Comment on “Motion of a helical vortex filament in superfluid 4He under the extrinsic form of the local induction approximation” [Phys. Fluids 25, 085101 (2013)] ⋮ Response to “Comment on ‘Motion of a helical vortex filament in superfluid 4He under the extrinsic form of the local induction approximation”’ [Phys. Fluids 26, 019101 (2014)] ⋮ Hyper-Riccati equations and integrable reductions permitting stationary solutions for complex hyperbolic field equations ⋮ Motion of open vortex-current filaments under the Biot–Savart model
Cites Work
- A locally induced homoclinic motion of a vortex filament
- Motion of a vortex filament in the local induction approximation: a perturbative approach
- Motion of a vortex filament in the local induction approximation: Reformulation of the Da Rios-Betchov equations in the extrinsic filament coordinate space
- The rotation of liquid helium II II. The theory of mutual friction in uniformly rotating helium II
- A vortex filament moving without change of form
- Torus knots and polynomial invariants for a class of soliton equations
- Quasi-static solutions for quantum vortex motion under the localized induction approximation
- Evolution of vortex knots
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