Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low stratification of a heat-conducting fluid in time-dependent domain   We study the low Mach number limit of the full Navier-Stokes-Fourier system
in the case of low stratification with ill-prepared initial data for the
problem stated on moving domain with prescribed motion of the boundary.
Similarly as in the case of a fixed domain we recover as a limit the
Oberback-Boussinesq system, however we identify one additional term in the
temperature equation of the limit system which is related to the motion of the
domain and which is not present in the case of a fixed domain. One of the main
ingredients in the proof are the properties of the Helmholtz decomposition on
moving domains and the dependence of eigenvalues and eigenspaces of the Neumann
Laplace operator on time.

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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin