Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incompressible limit for the free surface Navier-Stokes system   We establish uniform regularity estimates with respect to the Mach number for
the three-dimensional free surface compressible Navier-Stokes system in the
case of slightly well-prepared initial data in the sense that the acoustic
components like the divergence of the velocity field are of size
$\sqrt{\varepsilon}$, $\varepsilon$ being the Mach number. These estimates
allow us to justify the convergence towards the free surface incompressible
Navier-Stokes system in the low Mach number limit. One of the main difficulties
is the control of the regularity of the surface in presence of boundary layers
with fast oscillations.

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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg