Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Regularity of the 2D HVBK equations   The Hall-Vinen-Bekharevich-Khalatnikov (HVBK) equations are a macroscopic
model of superfluidity at non-zero temperatures. For smooth, compactly
supported data, we prove the global well-posedness of strong solutions to these
equations in $\mathbb{R}^2$, in the incompressible and isothermal case. The
proof utilises a contraction mapping argument to establish local well-posedness
for high-regularity data, following which we demonstrate global regularity
using an analogue of the Beale-Kato-Majda criterion in this context. In the
appendix, we address the sufficient conditions on a 2D vorticity field, in
order to have a finite kinetic energy.

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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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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: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: patt-sol