Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Navier-Stokes equations on a rapidly rotating sphere   We extend our earlier \beta-plane results [al-Jaboori and Wirosoetisno, 2011,
DCDS-B 16:687--701] to a rotating sphere. Specifically, we show that the
solution of the Navier--Stokes equations on a sphere rotating with angular
velocity 1/\epsilon\ becomes zonal in the long time limit, in the sense that
the non-zonal component of the energy becomes bounded by \epsilon M. We also
show that the global attractor reduces to a single stable steady state when the
rotation is fast enough.

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The categories of this paper are: cs
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The categories of this paper are: stat
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int