Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Energy cascades and flux locality in physical scales of the 3D
  Navier-Stokes equations   Rigorous estimates for the total - (kinetic) energy plus pressure - flux in
R^3 are obtained from the three dimensional Navier-Stokes equations. The bounds
are used to establish a condition - involving Taylor length scale and the size
of the domain - sufficient for existence of the inertial range and the energy
cascade in decaying turbulence (zero driving force, non-increasing global
energy). Several manifestations of the locality of the flux under this
condition are obtained. All the scales involved are actual physical scales in
R^3 and no regularity or homogeneity/scaling assumptions are made.

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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat