Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A remark on the zeroth law and instantaneous vortex stretching on the
  incompressible 3D Euler equations   By DNS of Navier-Stokes turbulence, Goto-Saito-Kawahara (2017) showed that
turbulence consists of a self-similar hierarchy of anti-parallel pairs of
vortex tubes, in particular, stretching in larger-scale strain fields creates
smaller-scale vortices. Inspired by their numerical result, we examine the
Goto-Saito-Kawahara type of vortex-tubes behavior using the 3D incompressible
Euler equations, and show that such behavior induces energy cascade in the
absence of nonlinear scale-interaction. From this energy cascade, we prove a
modified version of the zeroth-law. In the Appendix, we derive Kolmogorov's
$-5/3$-law from the GSK point of view.

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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con