Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vortices in stably-stratified rapidly rotating Boussinesq convection   We study the Boussinesq approximation for rapidly rotating stably-stratified
fluids in a three dimensional infinite layer with either stress-free or
periodic boundary conditions in the vertical direction. For initial conditions
satisfying a certain quasi-geostrophic smallness condition, we use dispersive
estimates and the large rotation limit to prove global-in-time existence of
solutions. We then use self-similar variable techniques to show that the
barotropic vorticity converges to an Oseen vortex, while other components decay
to zero. We finally use algebraically weighted spaces to determine leading
order asymptotics. In particular we show that the barotropic vorticity
approaches the Oseen vortex with algebraic rate while the barotropic vertical
velocity and thermal fluctuations go to zero as Gaussians whose amplitudes
oscillate in opposite phase of each other while decaying with an algebraic
rate.

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The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: hep-th
9
The categories of this paper are: nlin
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The categories of this paper are: econ
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org