Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic anomaly and large Reynolds number limit in hydrodynamic
  turbulence models   In this work we address the open problem of high Reynolds number limit in
hydrodynamic turbulence, which we modify by considering a vanishing random
(instead of deterministic) viscosity. In this formulation, a small-scale noise
propagates to large scales in an inverse cascade, which can be described using
qualitative arguments of the Kolmogorov-Obukhov theory. We conjecture that the
limit of the resulting probability distribution exists as $\mathrm{Re} \to
\infty$, and the limiting flow at finite time remains stochastic even if
forcing, initial and boundary conditions are deterministic. This conjecture is
confirmed numerically for the Sabra model of turbulence, where the solution is
deterministic before and random immediately after a blowup. Then, we derive a
purely inviscid problem formulation with a stochastic boundary condition
imposed in the inertial interval.

10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
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The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph