Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Inviscid Limits for the Stochastic Navier-Stokes Equations and
  Related Models   We study inviscid limits of invariant measures for the 2D Stochastic
Navier-Stokes equations. As shown in \cite{Kuksin2004} the noise scaling
$\sqrt{{\nu}}$ is the only one which leads to non-trivial limiting measures,
which are invariant for the 2D Euler equations. We show that any limiting
measure $\mu_{0}$ is in fact supported on bounded vorticities. Relationships of
$\mu_{0}$ to the long term dynamics of Euler in the $L^{\infty}$ with the
weak$^{*}$ topology are discussed. In view of the Batchelor-Krainchnan 2D
turbulence theory, we also consider inviscid limits for the weakly damped
stochastic Navier-Stokes equation. In this setting we show that only an order
zero noise (i.e. the noise scaling $\nu^0$) leads to a nontrivial limiting
measure in the inviscid limit.

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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: quant-ph