A locally induced homoclinic motion of a vortex filament
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Publication:983608
DOI10.1007/s00162-009-0160-3zbMath1191.76033OpenAlexW2001844677MaRDI QIDQ983608
Publication date: 24 July 2010
Published in: Theoretical and Computational Fluid Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00162-009-0160-3
Related Items (10)
Non-local dynamics governing the self-induced motion of a planar vortex filament ⋮ Translation of waves along quantum vortex filaments in the low-temperature two-dimensional local induction approximation ⋮ 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)] ⋮ General rotating quantum vortex filaments in the low-temperature Svistunov model of the local induction approximation ⋮ Motion of a vortex filament in the local induction approximation: a perturbative approach ⋮ Motion of open vortex-current filaments under the Biot–Savart model ⋮ Dynamics of nearly parallel interacting vortex filaments ⋮ Fully nonlinear local induction equation describing the motion of a vortex filament in superfluid 4He
Cites Work
- Complexification of wave numbers in solitons
- On Homoclinic Structure and Numerically Induced Chaos for the Nonlinear Schrödinger Equation
- A vortex filament moving without change of form
- Torus knots and polynomial invariants for a class of soliton equations
- The contributions of Da Rios and Levi-Civita to asymptotic potential theory and vortex filament dynamics
- A soliton on a vortex filament
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