Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
A vortex filament moving without change of form - MaRDI portal

A vortex filament moving without change of form

From MaRDI portal
Publication:3944186

DOI10.1017/S0022112081000475zbMath0484.76030OpenAlexW1966565113MaRDI QIDQ3944186

Shigeo Kida

Publication date: 1981

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112081000475




Related Items (52)

Solvability of the localized induction equation for vortex motionHypersurface constrained elasticae in Lorentzian space formsTorus knots and polynomial invariants for a class of soliton equationsQuasi-steady linked vortices with chaotic streamlinesKirchhoff elastic rods in the three-sphereTheory of interaction between two plane vortices in a perfect fluidNon-local dynamics governing the self-induced motion of a planar vortex filamentTranslation of waves along quantum vortex filaments in the low-temperature two-dimensional local induction approximationPhysical interpretation of certain invariants for vortex filament motion under LIAHelical vortex filament motion under the non-local Biot–Savart modelDecay of helical Kelvin waves on a quantum vortex filamentTopological transition and helicity conversion of vortex knots and linksSelf-similar vortex dynamics in superfluid 4He under the Cartesian representation of the Hall-Vinen model including superfluid frictionGeneral rotating quantum vortex filaments in the low-temperature Svistunov model of the local induction approximationInstability of closed p-elastic curves in 𝕊2Refined energy inequality with application to well-posedness for the fourth order nonlinear Schrödinger type equation on torusMotion of a vortex filament in the local induction approximation: Reformulation of the Da Rios-Betchov equations in the extrinsic filament coordinate spaceFermi–Walker magnetic curves and Killing trajectories in 3D Riemannian manifoldsStability of closed solutions to the vortex filament equation hierarchy with application to the Hirota equationReport on the IUTAM symposium: fundamental aspects of vortex motionKnotted scroll wave filaments in excitable mediaGeneralized helical vortex pairsKirchhoff elastic rods in three-dimensional space formsMagnetic vortex filament flowsCoplanar two vortex filaments without change of formOrbital stability of a two parameter family of solitary waves for a fourth order nonlinear Schrödinger type equationBoundary value problems for Euler-Bernoulli planar elastica. A solution construction procedureDynamics of charges and solitonsMotion of a vortex filament in the local induction approximation: a perturbative approachGeometric solitons of Hamiltonian flows on manifoldsQuasi‐Classical Approximation in Vortex Filament Dynamics. Integrable Systems, Gradient Catastrophe, and FlutterThe Da Rios system under a geometric constraint: the Gilbarg problemLocal vortices in a differentially rotating flowThree-dimensional distortions of a vortex filament with axial velocityChaotic streamlines in the flow of knotted and unknotted vorticesA locally induced homoclinic motion of a vortex filamentLund-Regge vortex strings in terms of Weierstrass elliptic functionsStability of solitons on vortex filamentsBinormal motion of curves with constant torsion in 3-spacesAnisotropic bending energies of curvesKnot types of generalized Kirchhoff rodsMotion of open vortex-current filaments under the Biot–Savart modelElliptic integral solutions of spatial elastica of a thin straight rod bent under concentrated terminal forcesDynamics of nearly parallel interacting vortex filamentsSymmetry transformations of an ideal steady fluid flow determined by a potential functionKnotted vortex filaments in an ideal fluidSolitons, Euler’s equation, and vortex patch dynamicsInitial value problem for the fourth order nonlinear Schrödinger type equation on torus and orbital stability of standing wavesClosed 1/2-elasticae in the 2-sphereFully nonlinear local induction equation describing the motion of a vortex filament in superfluid 4HeVortex helices for the Gross-Pitaevskii equationModel of two-dimensional vortex motion with an entrainment mechanism



Cites Work


This page was built for publication: A vortex filament moving without change of form