Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform Local Existence for Inhomogeneous Rotating Fluid Equations   We investigate the equations of anisotropic incompressible viscous fluids in
$\R^3$, rotating around an inhomogeneous vector $B(t, x_1, x_2)$. We prove the
global existence of strong solutions in suitable anisotropic Sobolev spaces for
small initial data, as well as uniformlocal existence result with respect to
the Rossby number in the same functional spaces under the additional assumption
that $B=B(t,x_1)$ or $B=B(t,x_2)$. We also obtain the propagation of the
isotropic Sobolev regularity using a new refined product law.

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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
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The categories of this paper are: econ
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th