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Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-019-09768-9
Abstract: AbstractThe $$n+1$$n+1 vortex filament problem has explicit solutions consisting of n parallel filaments of equal circulation in the form of nested polygons uniformly rotating around a central filament which has circulation of opposite sign. We…
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Keywords:
fixed period;
waves fixed;
period vortex;
standing waves ... See more keywords
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1
Published in 2017 at "Low Temperature Physics"
DOI: 10.1063/1.4975669
Abstract: The method of correlation functions and the method of quantum vortex configurations are used to calculate the energy spectrum of a three-dimensional velocity field that is induced by collapsing (immediately before reconnection) vortex filaments. The…
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Keywords:
quantum turbulence;
turbulence;
vortex filaments;
collapsing vortex ... See more keywords
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Published in 2019 at "Low Temperature Physics"
DOI: 10.1063/1.5116532
Abstract: The hydrodynamic problems of superfluid fluid containing chaotic tangles of quantized vortex filaments are discussed. The construction of such hydrodynamics crucially depends on the statistics of vortex tangles, and two important cases are presented. The…
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Keywords:
density vortex;
macroscopic dynamics;
system;
vortex ... See more keywords