Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reynolds Number of Transition as a Dynamic Constraint on Statistical
  Theory of Turbulence   Iterative coarse-graining procedure based on Wyld's perturbation expansion is
applied to the problem of Navier-Stokes turbulence. It is shown that the
low-order calculation gives the fixed-point Reynolds number $ Re_{fp}$
(coupling constant) almost identical to the Reynolds number of the recently
discovered transition to anomalous scaling of the moments of {\bf "velocity
derivatives"}. Using this result as a dynamic constraint, it is argued that in
the vicinity of the fixed point (integral scale) the high-order
non-linearities, generated by the procedure, are irrelevant. The infra-red
divergencies do not disappear but are are contained in the derived equations
for the symmetry-breaking large-scale flows (turbulence models or
"condensates"), which are source of the small-scale turbulence.

29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th