Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse cascade anomalies in fourth-order Leith models   We analyze a family of fourth-order non-linear diffusion models corresponding
to local approximations of 4-wave kinetic equations of weak wave turbulence. We
focus on a class of parameters for which a dual cascade behaviour is expected
with an infrared finite-time singularity associated to inverse transfer of
waveaction. This case is relevant for wave turbulence arising in the Nonlinear
Schrodinger model and for the gravitational waves in the Einstein's vacuum
field model. We show that inverse transfer is not described by a scaling of the
constant-flux solution but has an anomalous scaling. We compute the anomalous
exponents and analyze their origin using the theory of dynamical systems.

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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: stat