Stationary configurations of a vortex filament in background flows

DOI10.1098/rspa.1997.0067zbMath0891.76021OpenAlexW2157710732MaRDI QIDQ4353802

Yasuhide Fukumoto

Publication date: 30 June 1998

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1997.0067

zbMATH Keywords

Lagrangian formalismuniform flowaxisymmetric shear flowsource flowscharged particle in steady magnetic fieldinduction approximationrigidly rotating swirling flowsound raysteady low-Mach number flowwavy vortex ring

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47)

Related Items (9)

On the motion of a vortex filament in an external flow according to the localized induction approximation ⋮ 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 ⋮ General rotating quantum vortex filaments in the low-temperature Svistunov model of the local induction approximation ⋮ Coplanar two vortex filaments without change of form ⋮ Momenta of a vortex tangle by structural complexity analysis ⋮ Geometric solitons of Hamiltonian flows on manifolds ⋮ Motion of open vortex-current filaments under the Biot–Savart model ⋮ Dynamics of nearly parallel interacting vortex filaments

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