Physical interpretation of certain invariants for vortex filament motion under LIA
From MaRDI portal
Publication:3992338
DOI10.1063/1.858274zbMath0756.76016OpenAlexW2042070767MaRDI QIDQ3992338
Publication date: 13 August 1992
Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.858274
kinetic energyperfect fluidpolynomial invariantsBetchov-Da Rios equationsassociated Lagrangianpseudohelicity
Vortex flows for incompressible inviscid fluids (76B47) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (19)
Torus knots and polynomial invariants for a class of soliton equations ⋮ Existence of knotted vortex structures in stationary solutions of the Euler equations ⋮ On the relationship between the one-corner problem and the \(M\)-corner problem for the vortex filament equation ⋮ On the stability of a singular vortex dynamics ⋮ Qualitative and Numerical Aspects of a Motion of a Family of Interacting Curves in Space ⋮ Singularity formation for the 1-D cubic NLS and the Schrödinger map on \(\mathbb{S}^2\) ⋮ Optical phase of recursional hybrid visco ferromagnetic electromagnetic microscale ⋮ Optical recursional binormal optical visco Landau–Lifshitz electromagnetic optical density ⋮ New optical quasi normal antiferromagnetic microscale in Heisenberg algebra ⋮ New fractional Heisenberg antiferromagnetic model and solitonic magnetic flux surfaces with normal direction ⋮ On the stability of self-similar solutions of 1D cubic Schrödinger equations ⋮ Localized induction hierarchy and Weingarten systems ⋮ Momenta of a vortex tangle by structural complexity analysis ⋮ Quasi‐Classical Approximation in Vortex Filament Dynamics. Integrable Systems, Gradient Catastrophe, and Flutter ⋮ A Three-Dimensional Autowave Turbulence ⋮ A Three-Dimensional Autowave Turbulence ⋮ Solutions of the Betchov-Da Rios soliton equation: a Lorentzian approach ⋮ Formation of Singularities and Self-Similar Vortex Motion Under the Localized Induction Approximation† ⋮ Global wellposedness for 1D nonlinear Schrödinger equation for data with an infinite \(L^2\) norm
Cites Work
- Poisson geometry of the filament equation
- Vector fields and flows on developable surfaces
- Hydrodynamical description of the continuous Heisenberg chain
- Line Motion in Terms of Nonlinear Schrodinger Equations
- Bending waves on inviscid columnar vortices
- Acoustic emissions by vortex motions
- Soliton propagation on vortex cores and the Hasimoto soliton
- A vortex filament moving without change of form
- Knotted vortex filaments in an ideal fluid
- On the curvature and torsion of an isolated vortex filament
- Progressive Deformation of a Curved Vortex Filament by its Own Induction
- A soliton on a vortex filament
- Three-dimensional distortions of a vortex filament with axial velocity
This page was built for publication: Physical interpretation of certain invariants for vortex filament motion under LIA
