Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonstationary distributions of wave intensities in Wave Turbulence   We obtain a general solution for the probability density function of wave
intensities in non-stationary Wave Turbulence. The solution is expressed in
terms of the wave action spectrum evolving according the the wave-kinetic
equation. We establish that, in absence of wave breaking, the wave statistics
asymptotes to a Gaussian distribution in forced-dissipated wave systems that
approach a steady state. Also, in non-stationary systems, if the statistics is
Gaussian initially, it will remain Gaussian at any time. Generally, the
statistics that is not Gaussian initially will remain non-Gaussian over the
characteristic nonlinear time of the wave spectrum. In freely decaying wave
turbulence, substantial deviations from Gaussianity may persist infinitely
long.

8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph