Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kelvin Wave Cascade and Decay of Superfluid Turbulence   Kelvin waves (kelvons)--the distortion waves on vortex lines--play a key part
in the relaxation of superfluid turbulence at low temperatures. We present a
weak-turbulence theory of kelvons. We show that non-trivial kinetics arises
only beyond the local-induction approximation and is governed by three-kelvon
collisions; corresponding kinetic equation is derived. On the basis of the
kinetic equation, we prove the existence of Kolmogorov cascade and find its
spectrum. The qualitative analysis is corroborated by numeric study of the
kinetic equation. The application of the results to the theory of superfluid
turbulence is discussed.

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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th