NDLI: Waves on a vortex filament: exact solutions of dynamical equations

Content Provider	Springer Nature Link
Author	Sciacca, Michele Brugari, Tommaso Mongiovi, Maria Stella
Copyright Year	2014
Abstract	In this paper, we take into account the dynamical equations of a vortex filament in superfluid helium at finite temperature (1 K < T < 2.17 K) and at very low temperature, which is called Biot–Savart law. The last equation is also valid for a vortex tube in a frictionless, unbounded, and incompressible fluid. Both the equations are approximated by the Local Induction Approximation (LIA) and Fukumoto’s approximation. The obtained equations are then considered in the extrinsic frame of reference, where exact solutions (Kelvin waves) are shown. These waves are then compared one to each other in terms of their dispersion relations in the frictionless case. The same equations are then investigated for a quantized vortex line in superfluid helium at higher temperature, where friction terms are needed for a full description of the motion.
Ending Page	1094
Page Count	14
Starting Page	1081
File Format	PDF
ISSN	00442275
e-ISSN	14209039
Journal	Zeitschrift für angewandte Mathematik und Physik
Issue Number	3
Volume Number	66
Language	English
Publisher	Springer Basel
Publisher Date	2014-09-10
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Vortex filament Superfluid helium Mathematical Methods in Physics Series expansions (e.g. Taylor, Lidstone series, but not Fourier series) Kelvin waves Theoretical and Applied Mechanics Traveling wave solutions
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Physics and Astronomy

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